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Finding the Third Proportional to 438,315.75 and 787,146.75

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Solution

The third proportional to 438,315.75 and 787,146.75 is: 1,413,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,315.75 : 787,146.75 = 787,146.75 : x
  2. Step 2: Convert to fraction form
    438,315.75/787,146.75 = 787,146.75/x
  3. Step 3: Cross multiply
    438,315.75x = 787,146.75 × 787,146.75
  4. Step 4: Simplify right side
    438,315.75x = 619,600,006,035.56
  5. Step 5: Solve for x
    x = 619,600,006,035.56/438,315.75
  6. Step 6: Final answer
    x = 1,413,592.84

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.