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Finding the Third Proportional to 596,568.80 and 1,287,679.78

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Solution

The third proportional to 596,568.80 and 1,287,679.78 is: 2,779,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,568.80 : 1,287,679.78 = 1,287,679.78 : x
  2. Step 2: Convert to fraction form
    596,568.80/1,287,679.78 = 1,287,679.78/x
  3. Step 3: Cross multiply
    596,568.80x = 1,287,679.78 × 1,287,679.78
  4. Step 4: Simplify right side
    596,568.80x = 1,658,119,219,040.05
  5. Step 5: Solve for x
    x = 1,658,119,219,040.05/596,568.80
  6. Step 6: Final answer
    x = 2,779,426.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.