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Finding the Third Proportional to 350,200.13 and 491,810.63

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Solution

The third proportional to 350,200.13 and 491,810.63 is: 690,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,200.13 : 491,810.63 = 491,810.63 : x
  2. Step 2: Convert to fraction form
    350,200.13/491,810.63 = 491,810.63/x
  3. Step 3: Cross multiply
    350,200.13x = 491,810.63 × 491,810.63
  4. Step 4: Simplify right side
    350,200.13x = 241,877,690,862.89
  5. Step 5: Solve for x
    x = 241,877,690,862.89/350,200.13
  6. Step 6: Final answer
    x = 690,684.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.