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Finding the Third Proportional to 494,188,303.50 and 746,347,088.25

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Solution

The third proportional to 494,188,303.50 and 746,347,088.25 is: 1,127,169,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,188,303.50 : 746,347,088.25 = 746,347,088.25 : x
  2. Step 2: Convert to fraction form
    494,188,303.50/746,347,088.25 = 746,347,088.25/x
  3. Step 3: Cross multiply
    494,188,303.50x = 746,347,088.25 × 746,347,088.25
  4. Step 4: Simplify right side
    494,188,303.50x = 557,033,976,139,253,312
  5. Step 5: Solve for x
    x = 557,033,976,139,253,312/494,188,303.50
  6. Step 6: Final answer
    x = 1,127,169,486.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.