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Finding the Third Proportional to 632,423 and 924,972

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Solution

The third proportional to 632,423 and 924,972 is: 1,352,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,423 : 924,972 = 924,972 : x
  2. Step 2: Convert to fraction form
    632,423/924,972 = 924,972/x
  3. Step 3: Cross multiply
    632,423x = 924,972 × 924,972
  4. Step 4: Simplify right side
    632,423x = 855,573,200,784
  5. Step 5: Solve for x
    x = 855,573,200,784/632,423
  6. Step 6: Final answer
    x = 1,352,849.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.