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Finding the Third Proportional to 285,693.38 and 595,032.38

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Solution

The third proportional to 285,693.38 and 595,032.38 is: 1,239,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,693.38 : 595,032.38 = 595,032.38 : x
  2. Step 2: Convert to fraction form
    285,693.38/595,032.38 = 595,032.38/x
  3. Step 3: Cross multiply
    285,693.38x = 595,032.38 × 595,032.38
  4. Step 4: Simplify right side
    285,693.38x = 354,063,527,298.14
  5. Step 5: Solve for x
    x = 354,063,527,298.14/285,693.38
  6. Step 6: Final answer
    x = 1,239,313.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.