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Finding the Third Proportional to 560,953.13 and 816,868.13

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Solution

The third proportional to 560,953.13 and 816,868.13 is: 1,189,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,953.13 : 816,868.13 = 816,868.13 : x
  2. Step 2: Convert to fraction form
    560,953.13/816,868.13 = 816,868.13/x
  3. Step 3: Cross multiply
    560,953.13x = 816,868.13 × 816,868.13
  4. Step 4: Simplify right side
    560,953.13x = 667,273,533,641.02
  5. Step 5: Solve for x
    x = 667,273,533,641.02/560,953.13
  6. Step 6: Final answer
    x = 1,189,535.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.