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Finding the Third Proportional to 362,074 and 506,442

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Solution

The third proportional to 362,074 and 506,442 is: 708,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,074 : 506,442 = 506,442 : x
  2. Step 2: Convert to fraction form
    362,074/506,442 = 506,442/x
  3. Step 3: Cross multiply
    362,074x = 506,442 × 506,442
  4. Step 4: Simplify right side
    362,074x = 256,483,499,364
  5. Step 5: Solve for x
    x = 256,483,499,364/362,074
  6. Step 6: Final answer
    x = 708,373.15

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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.