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Finding the Third Proportional to 438,324 and 655,717.50

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Solution

The third proportional to 438,324 and 655,717.50 is: 980,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,324 : 655,717.50 = 655,717.50 : x
  2. Step 2: Convert to fraction form
    438,324/655,717.50 = 655,717.50/x
  3. Step 3: Cross multiply
    438,324x = 655,717.50 × 655,717.50
  4. Step 4: Simplify right side
    438,324x = 429,965,439,806.25
  5. Step 5: Solve for x
    x = 429,965,439,806.25/438,324
  6. Step 6: Final answer
    x = 980,930.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.