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Finding the Third Proportional to 535,432 and 829,068

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Solution

The third proportional to 535,432 and 829,068 is: 1,283,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,432 : 829,068 = 829,068 : x
  2. Step 2: Convert to fraction form
    535,432/829,068 = 829,068/x
  3. Step 3: Cross multiply
    535,432x = 829,068 × 829,068
  4. Step 4: Simplify right side
    535,432x = 687,353,748,624
  5. Step 5: Solve for x
    x = 687,353,748,624/535,432
  6. Step 6: Final answer
    x = 1,283,736.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.