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Finding the Third Proportional to 484,345.50 and 664,876.50

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Solution

The third proportional to 484,345.50 and 664,876.50 is: 912,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,345.50 : 664,876.50 = 664,876.50 : x
  2. Step 2: Convert to fraction form
    484,345.50/664,876.50 = 664,876.50/x
  3. Step 3: Cross multiply
    484,345.50x = 664,876.50 × 664,876.50
  4. Step 4: Simplify right side
    484,345.50x = 442,060,760,252.25
  5. Step 5: Solve for x
    x = 442,060,760,252.25/484,345.50
  6. Step 6: Final answer
    x = 912,697.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.