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Finding the Third Proportional to 677,394 and 997,377.75

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Solution

The third proportional to 677,394 and 997,377.75 is: 1,468,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,394 : 997,377.75 = 997,377.75 : x
  2. Step 2: Convert to fraction form
    677,394/997,377.75 = 997,377.75/x
  3. Step 3: Cross multiply
    677,394x = 997,377.75 × 997,377.75
  4. Step 4: Simplify right side
    677,394x = 994,762,376,195.06
  5. Step 5: Solve for x
    x = 994,762,376,195.06/677,394
  6. Step 6: Final answer
    x = 1,468,513.71

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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.