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Finding the Third Proportional to 475,670.25 and 736,674.75

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Solution

The third proportional to 475,670.25 and 736,674.75 is: 1,140,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,670.25 : 736,674.75 = 736,674.75 : x
  2. Step 2: Convert to fraction form
    475,670.25/736,674.75 = 736,674.75/x
  3. Step 3: Cross multiply
    475,670.25x = 736,674.75 × 736,674.75
  4. Step 4: Simplify right side
    475,670.25x = 542,689,687,287.56
  5. Step 5: Solve for x
    x = 542,689,687,287.56/475,670.25
  6. Step 6: Final answer
    x = 1,140,894.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.