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Finding the Third Proportional to 552,619.13 and 830,979

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Solution

The third proportional to 552,619.13 and 830,979 is: 1,249,551.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,619.13 : 830,979 = 830,979 : x
  2. Step 2: Convert to fraction form
    552,619.13/830,979 = 830,979/x
  3. Step 3: Cross multiply
    552,619.13x = 830,979 × 830,979
  4. Step 4: Simplify right side
    552,619.13x = 690,526,098,441
  5. Step 5: Solve for x
    x = 690,526,098,441/552,619.13
  6. Step 6: Final answer
    x = 1,249,551.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.