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Finding the Third Proportional to 337,574 and 720,346

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Solution

The third proportional to 337,574 and 720,346 is: 1,537,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,574 : 720,346 = 720,346 : x
  2. Step 2: Convert to fraction form
    337,574/720,346 = 720,346/x
  3. Step 3: Cross multiply
    337,574x = 720,346 × 720,346
  4. Step 4: Simplify right side
    337,574x = 518,898,359,716
  5. Step 5: Solve for x
    x = 518,898,359,716/337,574
  6. Step 6: Final answer
    x = 1,537,139.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.