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Finding the Third Proportional to 362,444 and 532,986

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Solution

The third proportional to 362,444 and 532,986 is: 783,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,444 : 532,986 = 532,986 : x
  2. Step 2: Convert to fraction form
    362,444/532,986 = 532,986/x
  3. Step 3: Cross multiply
    362,444x = 532,986 × 532,986
  4. Step 4: Simplify right side
    362,444x = 284,074,076,196
  5. Step 5: Solve for x
    x = 284,074,076,196/362,444
  6. Step 6: Final answer
    x = 783,773.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.