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Finding the Third Proportional to 380,926.50 and 812,478

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Solution

The third proportional to 380,926.50 and 812,478 is: 1,732,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,926.50 : 812,478 = 812,478 : x
  2. Step 2: Convert to fraction form
    380,926.50/812,478 = 812,478/x
  3. Step 3: Cross multiply
    380,926.50x = 812,478 × 812,478
  4. Step 4: Simplify right side
    380,926.50x = 660,120,500,484
  5. Step 5: Solve for x
    x = 660,120,500,484/380,926.50
  6. Step 6: Final answer
    x = 1,732,934.04

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.