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Finding the Third Proportional to 337,564 and 508,506

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Solution

The third proportional to 337,564 and 508,506 is: 766,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,564 : 508,506 = 508,506 : x
  2. Step 2: Convert to fraction form
    337,564/508,506 = 508,506/x
  3. Step 3: Cross multiply
    337,564x = 508,506 × 508,506
  4. Step 4: Simplify right side
    337,564x = 258,578,352,036
  5. Step 5: Solve for x
    x = 258,578,352,036/337,564
  6. Step 6: Final answer
    x = 766,012.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.