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Finding the Third Proportional to 602,869.50 and 818,713.50

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Solution

The third proportional to 602,869.50 and 818,713.50 is: 1,111,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,869.50 : 818,713.50 = 818,713.50 : x
  2. Step 2: Convert to fraction form
    602,869.50/818,713.50 = 818,713.50/x
  3. Step 3: Cross multiply
    602,869.50x = 818,713.50 × 818,713.50
  4. Step 4: Simplify right side
    602,869.50x = 670,291,795,082.25
  5. Step 5: Solve for x
    x = 670,291,795,082.25/602,869.50
  6. Step 6: Final answer
    x = 1,111,835.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.