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Finding the Third Proportional to 244,754 and 357,735

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Solution

The third proportional to 244,754 and 357,735 is: 522,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,754 : 357,735 = 357,735 : x
  2. Step 2: Convert to fraction form
    244,754/357,735 = 357,735/x
  3. Step 3: Cross multiply
    244,754x = 357,735 × 357,735
  4. Step 4: Simplify right side
    244,754x = 127,974,330,225
  5. Step 5: Solve for x
    x = 127,974,330,225/244,754
  6. Step 6: Final answer
    x = 522,869.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.