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Finding the Third Proportional to 590,446 and 916,775

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Solution

The third proportional to 590,446 and 916,775 is: 1,423,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,446 : 916,775 = 916,775 : x
  2. Step 2: Convert to fraction form
    590,446/916,775 = 916,775/x
  3. Step 3: Cross multiply
    590,446x = 916,775 × 916,775
  4. Step 4: Simplify right side
    590,446x = 840,476,400,625
  5. Step 5: Solve for x
    x = 840,476,400,625/590,446
  6. Step 6: Final answer
    x = 1,423,460.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.