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Finding the Third Proportional to 378,545.06 and 581,848.31

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Solution

The third proportional to 378,545.06 and 581,848.31 is: 894,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,545.06 : 581,848.31 = 581,848.31 : x
  2. Step 2: Convert to fraction form
    378,545.06/581,848.31 = 581,848.31/x
  3. Step 3: Cross multiply
    378,545.06x = 581,848.31 × 581,848.31
  4. Step 4: Simplify right side
    378,545.06x = 338,547,458,759.10
  5. Step 5: Solve for x
    x = 338,547,458,759.10/378,545.06
  6. Step 6: Final answer
    x = 894,338.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.