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Finding the Third Proportional to 656,712 and 998,310

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Solution

The third proportional to 656,712 and 998,310 is: 1,517,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,712 : 998,310 = 998,310 : x
  2. Step 2: Convert to fraction form
    656,712/998,310 = 998,310/x
  3. Step 3: Cross multiply
    656,712x = 998,310 × 998,310
  4. Step 4: Simplify right side
    656,712x = 996,622,856,100
  5. Step 5: Solve for x
    x = 996,622,856,100/656,712
  6. Step 6: Final answer
    x = 1,517,595.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.