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Finding the Third Proportional to 354,925.13 and 498,020.06

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Solution

The third proportional to 354,925.13 and 498,020.06 is: 698,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,925.13 : 498,020.06 = 498,020.06 : x
  2. Step 2: Convert to fraction form
    354,925.13/498,020.06 = 498,020.06/x
  3. Step 3: Cross multiply
    354,925.13x = 498,020.06 × 498,020.06
  4. Step 4: Simplify right side
    354,925.13x = 248,023,982,652.50
  5. Step 5: Solve for x
    x = 248,023,982,652.50/354,925.13
  6. Step 6: Final answer
    x = 698,806.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.