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Finding the Third Proportional to 337,576 and 508,528

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Solution

The third proportional to 337,576 and 508,528 is: 766,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,576 : 508,528 = 508,528 : x
  2. Step 2: Convert to fraction form
    337,576/508,528 = 508,528/x
  3. Step 3: Cross multiply
    337,576x = 508,528 × 508,528
  4. Step 4: Simplify right side
    337,576x = 258,600,726,784
  5. Step 5: Solve for x
    x = 258,600,726,784/337,576
  6. Step 6: Final answer
    x = 766,051.87

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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.