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Finding the Third Proportional to 295,746 and 641,317

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Solution

The third proportional to 295,746 and 641,317 is: 1,390,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,746 : 641,317 = 641,317 : x
  2. Step 2: Convert to fraction form
    295,746/641,317 = 641,317/x
  3. Step 3: Cross multiply
    295,746x = 641,317 × 641,317
  4. Step 4: Simplify right side
    295,746x = 411,287,494,489
  5. Step 5: Solve for x
    x = 411,287,494,489/295,746
  6. Step 6: Final answer
    x = 1,390,678.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.