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Finding the Third Proportional to 535,689 and 810,445.50

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Solution

The third proportional to 535,689 and 810,445.50 is: 1,226,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,689 : 810,445.50 = 810,445.50 : x
  2. Step 2: Convert to fraction form
    535,689/810,445.50 = 810,445.50/x
  3. Step 3: Cross multiply
    535,689x = 810,445.50 × 810,445.50
  4. Step 4: Simplify right side
    535,689x = 656,821,908,470.25
  5. Step 5: Solve for x
    x = 656,821,908,470.25/535,689
  6. Step 6: Final answer
    x = 1,226,125.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.