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Finding the Third Proportional to 362,072 and 506,438

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Solution

The third proportional to 362,072 and 506,438 is: 708,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,072 : 506,438 = 506,438 : x
  2. Step 2: Convert to fraction form
    362,072/506,438 = 506,438/x
  3. Step 3: Cross multiply
    362,072x = 506,438 × 506,438
  4. Step 4: Simplify right side
    362,072x = 256,479,447,844
  5. Step 5: Solve for x
    x = 256,479,447,844/362,072
  6. Step 6: Final answer
    x = 708,365.87

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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.