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Finding the Third Proportional to 658,298 and 882,471

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Solution

The third proportional to 658,298 and 882,471 is: 1,182,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,298 : 882,471 = 882,471 : x
  2. Step 2: Convert to fraction form
    658,298/882,471 = 882,471/x
  3. Step 3: Cross multiply
    658,298x = 882,471 × 882,471
  4. Step 4: Simplify right side
    658,298x = 778,755,065,841
  5. Step 5: Solve for x
    x = 778,755,065,841/658,298
  6. Step 6: Final answer
    x = 1,182,982.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.