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Finding the Third Proportional to 275,598 and 390,079.50

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Solution

The third proportional to 275,598 and 390,079.50 is: 552,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,598 : 390,079.50 = 390,079.50 : x
  2. Step 2: Convert to fraction form
    275,598/390,079.50 = 390,079.50/x
  3. Step 3: Cross multiply
    275,598x = 390,079.50 × 390,079.50
  4. Step 4: Simplify right side
    275,598x = 152,162,016,320.25
  5. Step 5: Solve for x
    x = 152,162,016,320.25/275,598
  6. Step 6: Final answer
    x = 552,115.82

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.