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Finding the Third Proportional to 535,151.81 and 819,679.50

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Solution

The third proportional to 535,151.81 and 819,679.50 is: 1,255,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,151.81 : 819,679.50 = 819,679.50 : x
  2. Step 2: Convert to fraction form
    535,151.81/819,679.50 = 819,679.50/x
  3. Step 3: Cross multiply
    535,151.81x = 819,679.50 × 819,679.50
  4. Step 4: Simplify right side
    535,151.81x = 671,874,482,720.25
  5. Step 5: Solve for x
    x = 671,874,482,720.25/535,151.81
  6. Step 6: Final answer
    x = 1,255,483.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.