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Finding the Third Proportional to 566,821.13 and 877,614.75

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Solution

The third proportional to 566,821.13 and 877,614.75 is: 1,358,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,821.13 : 877,614.75 = 877,614.75 : x
  2. Step 2: Convert to fraction form
    566,821.13/877,614.75 = 877,614.75/x
  3. Step 3: Cross multiply
    566,821.13x = 877,614.75 × 877,614.75
  4. Step 4: Simplify right side
    566,821.13x = 770,207,649,417.56
  5. Step 5: Solve for x
    x = 770,207,649,417.56/566,821.13
  6. Step 6: Final answer
    x = 1,358,819.59

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