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Finding the Third Proportional to 471,864.38 and 750,551.06

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Solution

The third proportional to 471,864.38 and 750,551.06 is: 1,193,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,864.38 : 750,551.06 = 750,551.06 : x
  2. Step 2: Convert to fraction form
    471,864.38/750,551.06 = 750,551.06/x
  3. Step 3: Cross multiply
    471,864.38x = 750,551.06 × 750,551.06
  4. Step 4: Simplify right side
    471,864.38x = 563,326,897,419.88
  5. Step 5: Solve for x
    x = 563,326,897,419.88/471,864.38
  6. Step 6: Final answer
    x = 1,193,832.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.