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Finding the Third Proportional to 632,318 and 924,811

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Solution

The third proportional to 632,318 and 924,811 is: 1,352,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,318 : 924,811 = 924,811 : x
  2. Step 2: Convert to fraction form
    632,318/924,811 = 924,811/x
  3. Step 3: Cross multiply
    632,318x = 924,811 × 924,811
  4. Step 4: Simplify right side
    632,318x = 855,275,385,721
  5. Step 5: Solve for x
    x = 855,275,385,721/632,318
  6. Step 6: Final answer
    x = 1,352,603.26

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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.