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Finding the Third Proportional to 310,881.38 and 645,131.25

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Solution

The third proportional to 310,881.38 and 645,131.25 is: 1,338,756.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,881.38 : 645,131.25 = 645,131.25 : x
  2. Step 2: Convert to fraction form
    310,881.38/645,131.25 = 645,131.25/x
  3. Step 3: Cross multiply
    310,881.38x = 645,131.25 × 645,131.25
  4. Step 4: Simplify right side
    310,881.38x = 416,194,329,726.56
  5. Step 5: Solve for x
    x = 416,194,329,726.56/310,881.38
  6. Step 6: Final answer
    x = 1,338,756.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.