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Finding the Third Proportional to 362,074 and 506,441

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Solution

The third proportional to 362,074 and 506,441 is: 708,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,074 : 506,441 = 506,441 : x
  2. Step 2: Convert to fraction form
    362,074/506,441 = 506,441/x
  3. Step 3: Cross multiply
    362,074x = 506,441 × 506,441
  4. Step 4: Simplify right side
    362,074x = 256,482,486,481
  5. Step 5: Solve for x
    x = 256,482,486,481/362,074
  6. Step 6: Final answer
    x = 708,370.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.