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Finding the Third Proportional to 321,499.13 and 508,639.50

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Solution

The third proportional to 321,499.13 and 508,639.50 is: 804,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,499.13 : 508,639.50 = 508,639.50 : x
  2. Step 2: Convert to fraction form
    321,499.13/508,639.50 = 508,639.50/x
  3. Step 3: Cross multiply
    321,499.13x = 508,639.50 × 508,639.50
  4. Step 4: Simplify right side
    321,499.13x = 258,714,140,960.25
  5. Step 5: Solve for x
    x = 258,714,140,960.25/321,499.13
  6. Step 6: Final answer
    x = 804,711.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.