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Finding the Third Proportional to 584,429 and 791,971

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Solution

The third proportional to 584,429 and 791,971 is: 1,073,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,429 : 791,971 = 791,971 : x
  2. Step 2: Convert to fraction form
    584,429/791,971 = 791,971/x
  3. Step 3: Cross multiply
    584,429x = 791,971 × 791,971
  4. Step 4: Simplify right side
    584,429x = 627,218,064,841
  5. Step 5: Solve for x
    x = 627,218,064,841/584,429
  6. Step 6: Final answer
    x = 1,073,215.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.