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Finding the Third Proportional to 652,960 and 924,766

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Solution

The third proportional to 652,960 and 924,766 is: 1,309,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,960 : 924,766 = 924,766 : x
  2. Step 2: Convert to fraction form
    652,960/924,766 = 924,766/x
  3. Step 3: Cross multiply
    652,960x = 924,766 × 924,766
  4. Step 4: Simplify right side
    652,960x = 855,192,154,756
  5. Step 5: Solve for x
    x = 855,192,154,756/652,960
  6. Step 6: Final answer
    x = 1,309,715.99

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.