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Finding the Third Proportional to 602,590.50 and 826,283.25

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Solution

The third proportional to 602,590.50 and 826,283.25 is: 1,133,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,590.50 : 826,283.25 = 826,283.25 : x
  2. Step 2: Convert to fraction form
    602,590.50/826,283.25 = 826,283.25/x
  3. Step 3: Cross multiply
    602,590.50x = 826,283.25 × 826,283.25
  4. Step 4: Simplify right side
    602,590.50x = 682,744,009,230.56
  5. Step 5: Solve for x
    x = 682,744,009,230.56/602,590.50
  6. Step 6: Final answer
    x = 1,133,014.89

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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.