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Finding the Third Proportional to 495,001.13 and 786,808.69

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Solution

The third proportional to 495,001.13 and 786,808.69 is: 1,250,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,001.13 : 786,808.69 = 786,808.69 : x
  2. Step 2: Convert to fraction form
    495,001.13/786,808.69 = 786,808.69/x
  3. Step 3: Cross multiply
    495,001.13x = 786,808.69 × 786,808.69
  4. Step 4: Simplify right side
    495,001.13x = 619,067,910,725.47
  5. Step 5: Solve for x
    x = 619,067,910,725.47/495,001.13
  6. Step 6: Final answer
    x = 1,250,639.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.