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Finding the Third Proportional to 602,563.50 and 826,247

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Solution

The third proportional to 602,563.50 and 826,247 is: 1,132,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,563.50 : 826,247 = 826,247 : x
  2. Step 2: Convert to fraction form
    602,563.50/826,247 = 826,247/x
  3. Step 3: Cross multiply
    602,563.50x = 826,247 × 826,247
  4. Step 4: Simplify right side
    602,563.50x = 682,684,105,009
  5. Step 5: Solve for x
    x = 682,684,105,009/602,563.50
  6. Step 6: Final answer
    x = 1,132,966.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.