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Finding the Third Proportional to 535,192 and 829,140

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Solution

The third proportional to 535,192 and 829,140 is: 1,284,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,192 : 829,140 = 829,140 : x
  2. Step 2: Convert to fraction form
    535,192/829,140 = 829,140/x
  3. Step 3: Cross multiply
    535,192x = 829,140 × 829,140
  4. Step 4: Simplify right side
    535,192x = 687,473,139,600
  5. Step 5: Solve for x
    x = 687,473,139,600/535,192
  6. Step 6: Final answer
    x = 1,284,535.53

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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.