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Finding the Third Proportional to 321,985.13 and 482,856.19

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Solution

The third proportional to 321,985.13 and 482,856.19 is: 724,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,985.13 : 482,856.19 = 482,856.19 : x
  2. Step 2: Convert to fraction form
    321,985.13/482,856.19 = 482,856.19/x
  3. Step 3: Cross multiply
    321,985.13x = 482,856.19 × 482,856.19
  4. Step 4: Simplify right side
    321,985.13x = 233,150,097,807.04
  5. Step 5: Solve for x
    x = 233,150,097,807.04/321,985.13
  6. Step 6: Final answer
    x = 724,102.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.