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Finding the Third Proportional to 592,295.63 and 866,229.75

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Solution

The third proportional to 592,295.63 and 866,229.75 is: 1,266,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,295.63 : 866,229.75 = 866,229.75 : x
  2. Step 2: Convert to fraction form
    592,295.63/866,229.75 = 866,229.75/x
  3. Step 3: Cross multiply
    592,295.63x = 866,229.75 × 866,229.75
  4. Step 4: Simplify right side
    592,295.63x = 750,353,979,785.06
  5. Step 5: Solve for x
    x = 750,353,979,785.06/592,295.63
  6. Step 6: Final answer
    x = 1,266,857.20

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.