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Finding the Third Proportional to 580,453.13 and 896,947.69

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Solution

The third proportional to 580,453.13 and 896,947.69 is: 1,386,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,453.13 : 896,947.69 = 896,947.69 : x
  2. Step 2: Convert to fraction form
    580,453.13/896,947.69 = 896,947.69/x
  3. Step 3: Cross multiply
    580,453.13x = 896,947.69 × 896,947.69
  4. Step 4: Simplify right side
    580,453.13x = 804,515,154,111.60
  5. Step 5: Solve for x
    x = 804,515,154,111.60/580,453.13
  6. Step 6: Final answer
    x = 1,386,012.27

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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.