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Finding the Third Proportional to 536,064 and 829,287

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Solution

The third proportional to 536,064 and 829,287 is: 1,282,900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,064 : 829,287 = 829,287 : x
  2. Step 2: Convert to fraction form
    536,064/829,287 = 829,287/x
  3. Step 3: Cross multiply
    536,064x = 829,287 × 829,287
  4. Step 4: Simplify right side
    536,064x = 687,716,928,369
  5. Step 5: Solve for x
    x = 687,716,928,369/536,064
  6. Step 6: Final answer
    x = 1,282,900.79

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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.