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Finding the Third Proportional to 283,127 and 610,534

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Solution

The third proportional to 283,127 and 610,534 is: 1,316,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,127 : 610,534 = 610,534 : x
  2. Step 2: Convert to fraction form
    283,127/610,534 = 610,534/x
  3. Step 3: Cross multiply
    283,127x = 610,534 × 610,534
  4. Step 4: Simplify right side
    283,127x = 372,751,765,156
  5. Step 5: Solve for x
    x = 372,751,765,156/283,127
  6. Step 6: Final answer
    x = 1,316,553.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.