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Finding the Third Proportional to 535,336 and 807,540

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Solution

The third proportional to 535,336 and 807,540 is: 1,218,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,336 : 807,540 = 807,540 : x
  2. Step 2: Convert to fraction form
    535,336/807,540 = 807,540/x
  3. Step 3: Cross multiply
    535,336x = 807,540 × 807,540
  4. Step 4: Simplify right side
    535,336x = 652,120,851,600
  5. Step 5: Solve for x
    x = 652,120,851,600/535,336
  6. Step 6: Final answer
    x = 1,218,152.43

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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.