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Finding the Third Proportional to 516,125 and 759,007

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Solution

The third proportional to 516,125 and 759,007 is: 1,116,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,125 : 759,007 = 759,007 : x
  2. Step 2: Convert to fraction form
    516,125/759,007 = 759,007/x
  3. Step 3: Cross multiply
    516,125x = 759,007 × 759,007
  4. Step 4: Simplify right side
    516,125x = 576,091,626,049
  5. Step 5: Solve for x
    x = 576,091,626,049/516,125
  6. Step 6: Final answer
    x = 1,116,186.25

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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.