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Finding the Third Proportional to 341,470.50 and 501,131.25

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Solution

The third proportional to 341,470.50 and 501,131.25 is: 735,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,470.50 : 501,131.25 = 501,131.25 : x
  2. Step 2: Convert to fraction form
    341,470.50/501,131.25 = 501,131.25/x
  3. Step 3: Cross multiply
    341,470.50x = 501,131.25 × 501,131.25
  4. Step 4: Simplify right side
    341,470.50x = 251,132,529,726.56
  5. Step 5: Solve for x
    x = 251,132,529,726.56/341,470.50
  6. Step 6: Final answer
    x = 735,444.29

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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.