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Finding the Third Proportional to 485,095.50 and 1,020,463.31

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Solution

The third proportional to 485,095.50 and 1,020,463.31 is: 2,146,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,095.50 : 1,020,463.31 = 1,020,463.31 : x
  2. Step 2: Convert to fraction form
    485,095.50/1,020,463.31 = 1,020,463.31/x
  3. Step 3: Cross multiply
    485,095.50x = 1,020,463.31 × 1,020,463.31
  4. Step 4: Simplify right side
    485,095.50x = 1,041,345,372,158.47
  5. Step 5: Solve for x
    x = 1,041,345,372,158.47/485,095.50
  6. Step 6: Final answer
    x = 2,146,681.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.