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Finding the Third Proportional to 435,560 and 924,008

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Solution

The third proportional to 435,560 and 924,008 is: 1,960,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,560 : 924,008 = 924,008 : x
  2. Step 2: Convert to fraction form
    435,560/924,008 = 924,008/x
  3. Step 3: Cross multiply
    435,560x = 924,008 × 924,008
  4. Step 4: Simplify right side
    435,560x = 853,790,784,064
  5. Step 5: Solve for x
    x = 853,790,784,064/435,560
  6. Step 6: Final answer
    x = 1,960,213.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.