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Finding the Third Proportional to 337,526 and 712,982

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Solution

The third proportional to 337,526 and 712,982 is: 1,506,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,526 : 712,982 = 712,982 : x
  2. Step 2: Convert to fraction form
    337,526/712,982 = 712,982/x
  3. Step 3: Cross multiply
    337,526x = 712,982 × 712,982
  4. Step 4: Simplify right side
    337,526x = 508,343,332,324
  5. Step 5: Solve for x
    x = 508,343,332,324/337,526
  6. Step 6: Final answer
    x = 1,506,086.44

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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.