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Finding the Third Proportional to 375,266.25 and 581,941.13

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Solution

The third proportional to 375,266.25 and 581,941.13 is: 902,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,266.25 : 581,941.13 = 581,941.13 : x
  2. Step 2: Convert to fraction form
    375,266.25/581,941.13 = 581,941.13/x
  3. Step 3: Cross multiply
    375,266.25x = 581,941.13 × 581,941.13
  4. Step 4: Simplify right side
    375,266.25x = 338,655,472,966.27
  5. Step 5: Solve for x
    x = 338,655,472,966.27/375,266.25
  6. Step 6: Final answer
    x = 902,440.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.