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Finding the Third Proportional to 367,664 and 506,292

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Solution

The third proportional to 367,664 and 506,292 is: 697,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,664 : 506,292 = 506,292 : x
  2. Step 2: Convert to fraction form
    367,664/506,292 = 506,292/x
  3. Step 3: Cross multiply
    367,664x = 506,292 × 506,292
  4. Step 4: Simplify right side
    367,664x = 256,331,589,264
  5. Step 5: Solve for x
    x = 256,331,589,264/367,664
  6. Step 6: Final answer
    x = 697,189.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.