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Finding the Third Proportional to 367,064 and 567,332

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Solution

The third proportional to 367,064 and 567,332 is: 876,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,064 : 567,332 = 567,332 : x
  2. Step 2: Convert to fraction form
    367,064/567,332 = 567,332/x
  3. Step 3: Cross multiply
    367,064x = 567,332 × 567,332
  4. Step 4: Simplify right side
    367,064x = 321,865,598,224
  5. Step 5: Solve for x
    x = 321,865,598,224/367,064
  6. Step 6: Final answer
    x = 876,865.07

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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.