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Finding the Third Proportional to 261,516 and 566,376

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Solution

The third proportional to 261,516 and 566,376 is: 1,226,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,516 : 566,376 = 566,376 : x
  2. Step 2: Convert to fraction form
    261,516/566,376 = 566,376/x
  3. Step 3: Cross multiply
    261,516x = 566,376 × 566,376
  4. Step 4: Simplify right side
    261,516x = 320,781,773,376
  5. Step 5: Solve for x
    x = 320,781,773,376/261,516
  6. Step 6: Final answer
    x = 1,226,623.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.