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Finding the Third Proportional to 295,941.50 and 641,681

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Solution

The third proportional to 295,941.50 and 641,681 is: 1,391,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,941.50 : 641,681 = 641,681 : x
  2. Step 2: Convert to fraction form
    295,941.50/641,681 = 641,681/x
  3. Step 3: Cross multiply
    295,941.50x = 641,681 × 641,681
  4. Step 4: Simplify right side
    295,941.50x = 411,754,505,761
  5. Step 5: Solve for x
    x = 411,754,505,761/295,941.50
  6. Step 6: Final answer
    x = 1,391,337.50

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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.