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Finding the Third Proportional to 242,364 and 527,362

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Solution

The third proportional to 242,364 and 527,362 is: 1,147,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,364 : 527,362 = 527,362 : x
  2. Step 2: Convert to fraction form
    242,364/527,362 = 527,362/x
  3. Step 3: Cross multiply
    242,364x = 527,362 × 527,362
  4. Step 4: Simplify right side
    242,364x = 278,110,679,044
  5. Step 5: Solve for x
    x = 278,110,679,044/242,364
  6. Step 6: Final answer
    x = 1,147,491.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.