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Finding the Third Proportional to 602,160.19 and 880,633.69

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Solution

The third proportional to 602,160.19 and 880,633.69 is: 1,287,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,160.19 : 880,633.69 = 880,633.69 : x
  2. Step 2: Convert to fraction form
    602,160.19/880,633.69 = 880,633.69/x
  3. Step 3: Cross multiply
    602,160.19x = 880,633.69 × 880,633.69
  4. Step 4: Simplify right side
    602,160.19x = 775,515,691,559.85
  5. Step 5: Solve for x
    x = 775,515,691,559.85/602,160.19
  6. Step 6: Final answer
    x = 1,287,889.35

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Why These Related Problems?

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