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Finding the Third Proportional to 323,266.50 and 706,725

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Solution

The third proportional to 323,266.50 and 706,725 is: 1,545,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,266.50 : 706,725 = 706,725 : x
  2. Step 2: Convert to fraction form
    323,266.50/706,725 = 706,725/x
  3. Step 3: Cross multiply
    323,266.50x = 706,725 × 706,725
  4. Step 4: Simplify right side
    323,266.50x = 499,460,225,625
  5. Step 5: Solve for x
    x = 499,460,225,625/323,266.50
  6. Step 6: Final answer
    x = 1,545,041.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.