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Finding the Third Proportional to 497,715.75 and 750,651.75

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Solution

The third proportional to 497,715.75 and 750,651.75 is: 1,132,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,715.75 : 750,651.75 = 750,651.75 : x
  2. Step 2: Convert to fraction form
    497,715.75/750,651.75 = 750,651.75/x
  3. Step 3: Cross multiply
    497,715.75x = 750,651.75 × 750,651.75
  4. Step 4: Simplify right side
    497,715.75x = 563,478,049,778.06
  5. Step 5: Solve for x
    x = 563,478,049,778.06/497,715.75
  6. Step 6: Final answer
    x = 1,132,128.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.