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Finding the Third Proportional to 516,223.13 and 756,838.69

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Solution

The third proportional to 516,223.13 and 756,838.69 is: 1,109,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,223.13 : 756,838.69 = 756,838.69 : x
  2. Step 2: Convert to fraction form
    516,223.13/756,838.69 = 756,838.69/x
  3. Step 3: Cross multiply
    516,223.13x = 756,838.69 × 756,838.69
  4. Step 4: Simplify right side
    516,223.13x = 572,804,798,896.72
  5. Step 5: Solve for x
    x = 572,804,798,896.72/516,223.13
  6. Step 6: Final answer
    x = 1,109,607.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.