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Finding the Third Proportional to 386,666.16 and 849,501.42

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Solution

The third proportional to 386,666.16 and 849,501.42 is: 1,866,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,666.16 : 849,501.42 = 849,501.42 : x
  2. Step 2: Convert to fraction form
    386,666.16/849,501.42 = 849,501.42/x
  3. Step 3: Cross multiply
    386,666.16x = 849,501.42 × 849,501.42
  4. Step 4: Simplify right side
    386,666.16x = 721,652,665,767.65
  5. Step 5: Solve for x
    x = 721,652,665,767.65/386,666.16
  6. Step 6: Final answer
    x = 1,866,345.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.