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Finding the Third Proportional to 369,123 and 527,842

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Solution

The third proportional to 369,123 and 527,842 is: 754,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,123 : 527,842 = 527,842 : x
  2. Step 2: Convert to fraction form
    369,123/527,842 = 527,842/x
  3. Step 3: Cross multiply
    369,123x = 527,842 × 527,842
  4. Step 4: Simplify right side
    369,123x = 278,617,176,964
  5. Step 5: Solve for x
    x = 278,617,176,964/369,123
  6. Step 6: Final answer
    x = 754,808.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.