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Finding the Third Proportional to 276,032.81 and 391,442.63

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Solution

The third proportional to 276,032.81 and 391,442.63 is: 555,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,032.81 : 391,442.63 = 391,442.63 : x
  2. Step 2: Convert to fraction form
    276,032.81/391,442.63 = 391,442.63/x
  3. Step 3: Cross multiply
    276,032.81x = 391,442.63 × 391,442.63
  4. Step 4: Simplify right side
    276,032.81x = 153,227,328,666.89
  5. Step 5: Solve for x
    x = 153,227,328,666.89/276,032.81
  6. Step 6: Final answer
    x = 555,105.49

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.