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Finding the Third Proportional to 566,979.75 and 877,260.38

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Solution

The third proportional to 566,979.75 and 877,260.38 is: 1,357,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,979.75 : 877,260.38 = 877,260.38 : x
  2. Step 2: Convert to fraction form
    566,979.75/877,260.38 = 877,260.38/x
  3. Step 3: Cross multiply
    566,979.75x = 877,260.38 × 877,260.38
  4. Step 4: Simplify right side
    566,979.75x = 769,585,765,545.14
  5. Step 5: Solve for x
    x = 769,585,765,545.14/566,979.75
  6. Step 6: Final answer
    x = 1,357,342.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.