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Finding the Third Proportional to 411,549 and 587,386.50

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Solution

The third proportional to 411,549 and 587,386.50 is: 838,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,549 : 587,386.50 = 587,386.50 : x
  2. Step 2: Convert to fraction form
    411,549/587,386.50 = 587,386.50/x
  3. Step 3: Cross multiply
    411,549x = 587,386.50 × 587,386.50
  4. Step 4: Simplify right side
    411,549x = 345,022,900,382.25
  5. Step 5: Solve for x
    x = 345,022,900,382.25/411,549
  6. Step 6: Final answer
    x = 838,351.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.