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Finding the Third Proportional to 566,711.44 and 877,516.03

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Solution

The third proportional to 566,711.44 and 877,516.03 is: 1,358,776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,711.44 : 877,516.03 = 877,516.03 : x
  2. Step 2: Convert to fraction form
    566,711.44/877,516.03 = 877,516.03/x
  3. Step 3: Cross multiply
    566,711.44x = 877,516.03 × 877,516.03
  4. Step 4: Simplify right side
    566,711.44x = 770,034,385,100.75
  5. Step 5: Solve for x
    x = 770,034,385,100.75/566,711.44
  6. Step 6: Final answer
    x = 1,358,776.86

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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.