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Finding the Third Proportional to 461,849 and 735,461

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Solution

The third proportional to 461,849 and 735,461 is: 1,171,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,849 : 735,461 = 735,461 : x
  2. Step 2: Convert to fraction form
    461,849/735,461 = 735,461/x
  3. Step 3: Cross multiply
    461,849x = 735,461 × 735,461
  4. Step 4: Simplify right side
    461,849x = 540,902,882,521
  5. Step 5: Solve for x
    x = 540,902,882,521/461,849
  6. Step 6: Final answer
    x = 1,171,168.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.