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Finding the Third Proportional to 387,225.56 and 820,602.56

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Solution

The third proportional to 387,225.56 and 820,602.56 is: 1,739,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,225.56 : 820,602.56 = 820,602.56 : x
  2. Step 2: Convert to fraction form
    387,225.56/820,602.56 = 820,602.56/x
  3. Step 3: Cross multiply
    387,225.56x = 820,602.56 × 820,602.56
  4. Step 4: Simplify right side
    387,225.56x = 673,388,565,581.57
  5. Step 5: Solve for x
    x = 673,388,565,581.57/387,225.56
  6. Step 6: Final answer
    x = 1,739,008.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.