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Finding the Third Proportional to 560,742.75 and 881,290.13

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Solution

The third proportional to 560,742.75 and 881,290.13 is: 1,385,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,742.75 : 881,290.13 = 881,290.13 : x
  2. Step 2: Convert to fraction form
    560,742.75/881,290.13 = 881,290.13/x
  3. Step 3: Cross multiply
    560,742.75x = 881,290.13 × 881,290.13
  4. Step 4: Simplify right side
    560,742.75x = 776,672,284,422.52
  5. Step 5: Solve for x
    x = 776,672,284,422.52/560,742.75
  6. Step 6: Final answer
    x = 1,385,077.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.