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Finding the Third Proportional to 362,250 and 500,527

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Solution

The third proportional to 362,250 and 500,527 is: 691,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,250 : 500,527 = 500,527 : x
  2. Step 2: Convert to fraction form
    362,250/500,527 = 500,527/x
  3. Step 3: Cross multiply
    362,250x = 500,527 × 500,527
  4. Step 4: Simplify right side
    362,250x = 250,527,277,729
  5. Step 5: Solve for x
    x = 250,527,277,729/362,250
  6. Step 6: Final answer
    x = 691,586.69

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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.