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Finding the Third Proportional to 651,948.38 and 997,299.75

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Solution

The third proportional to 651,948.38 and 997,299.75 is: 1,525,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,948.38 : 997,299.75 = 997,299.75 : x
  2. Step 2: Convert to fraction form
    651,948.38/997,299.75 = 997,299.75/x
  3. Step 3: Cross multiply
    651,948.38x = 997,299.75 × 997,299.75
  4. Step 4: Simplify right side
    651,948.38x = 994,606,791,350.06
  5. Step 5: Solve for x
    x = 994,606,791,350.06/651,948.38
  6. Step 6: Final answer
    x = 1,525,591.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.