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Finding the Third Proportional to 338,752 and 527,472

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Solution

The third proportional to 338,752 and 527,472 is: 821,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,752 : 527,472 = 527,472 : x
  2. Step 2: Convert to fraction form
    338,752/527,472 = 527,472/x
  3. Step 3: Cross multiply
    338,752x = 527,472 × 527,472
  4. Step 4: Simplify right side
    338,752x = 278,226,710,784
  5. Step 5: Solve for x
    x = 278,226,710,784/338,752
  6. Step 6: Final answer
    x = 821,328.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.