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Finding the Third Proportional to 357,598 and 744,590

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Solution

The third proportional to 357,598 and 744,590 is: 1,550,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,598 : 744,590 = 744,590 : x
  2. Step 2: Convert to fraction form
    357,598/744,590 = 744,590/x
  3. Step 3: Cross multiply
    357,598x = 744,590 × 744,590
  4. Step 4: Simplify right side
    357,598x = 554,414,268,100
  5. Step 5: Solve for x
    x = 554,414,268,100/357,598
  6. Step 6: Final answer
    x = 1,550,384.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.