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Finding the Third Proportional to 357,470 and 744,342

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Solution

The third proportional to 357,470 and 744,342 is: 1,549,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,470 : 744,342 = 744,342 : x
  2. Step 2: Convert to fraction form
    357,470/744,342 = 744,342/x
  3. Step 3: Cross multiply
    357,470x = 744,342 × 744,342
  4. Step 4: Simplify right side
    357,470x = 554,045,012,964
  5. Step 5: Solve for x
    x = 554,045,012,964/357,470
  6. Step 6: Final answer
    x = 1,549,906.32

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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.