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Finding the Third Proportional to 535,932 and 829,464

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Solution

The third proportional to 535,932 and 829,464 is: 1,283,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,932 : 829,464 = 829,464 : x
  2. Step 2: Convert to fraction form
    535,932/829,464 = 829,464/x
  3. Step 3: Cross multiply
    535,932x = 829,464 × 829,464
  4. Step 4: Simplify right side
    535,932x = 688,010,527,296
  5. Step 5: Solve for x
    x = 688,010,527,296/535,932
  6. Step 6: Final answer
    x = 1,283,764.60

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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.