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Finding the Third Proportional to 602,368.88 and 1,309,713.75

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Solution

The third proportional to 602,368.88 and 1,309,713.75 is: 2,847,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,368.88 : 1,309,713.75 = 1,309,713.75 : x
  2. Step 2: Convert to fraction form
    602,368.88/1,309,713.75 = 1,309,713.75/x
  3. Step 3: Cross multiply
    602,368.88x = 1,309,713.75 × 1,309,713.75
  4. Step 4: Simplify right side
    602,368.88x = 1,715,350,106,939.06
  5. Step 5: Solve for x
    x = 1,715,350,106,939.06/602,368.88
  6. Step 6: Final answer
    x = 2,847,673.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.