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Finding the Third Proportional to 337,488 and 712,922

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Solution

The third proportional to 337,488 and 712,922 is: 1,506,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,488 : 712,922 = 712,922 : x
  2. Step 2: Convert to fraction form
    337,488/712,922 = 712,922/x
  3. Step 3: Cross multiply
    337,488x = 712,922 × 712,922
  4. Step 4: Simplify right side
    337,488x = 508,257,778,084
  5. Step 5: Solve for x
    x = 508,257,778,084/337,488
  6. Step 6: Final answer
    x = 1,506,002.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.