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Finding the Third Proportional to 589,251.38 and 882,905.06

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Solution

The third proportional to 589,251.38 and 882,905.06 is: 1,322,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,251.38 : 882,905.06 = 882,905.06 : x
  2. Step 2: Convert to fraction form
    589,251.38/882,905.06 = 882,905.06/x
  3. Step 3: Cross multiply
    589,251.38x = 882,905.06 × 882,905.06
  4. Step 4: Simplify right side
    589,251.38x = 779,521,349,388.13
  5. Step 5: Solve for x
    x = 779,521,349,388.13/589,251.38
  6. Step 6: Final answer
    x = 1,322,901.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.