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Finding the Third Proportional to 274,564 and 562,507

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Solution

The third proportional to 274,564 and 562,507 is: 1,152,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,564 : 562,507 = 562,507 : x
  2. Step 2: Convert to fraction form
    274,564/562,507 = 562,507/x
  3. Step 3: Cross multiply
    274,564x = 562,507 × 562,507
  4. Step 4: Simplify right side
    274,564x = 316,414,125,049
  5. Step 5: Solve for x
    x = 316,414,125,049/274,564
  6. Step 6: Final answer
    x = 1,152,423.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.