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Finding the Third Proportional to 535,311 and 829,863

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Solution

The third proportional to 535,311 and 829,863 is: 1,286,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,311 : 829,863 = 829,863 : x
  2. Step 2: Convert to fraction form
    535,311/829,863 = 829,863/x
  3. Step 3: Cross multiply
    535,311x = 829,863 × 829,863
  4. Step 4: Simplify right side
    535,311x = 688,672,598,769
  5. Step 5: Solve for x
    x = 688,672,598,769/535,311
  6. Step 6: Final answer
    x = 1,286,490.65

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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.