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Finding the Third Proportional to 244,288 and 348,680

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Solution

The third proportional to 244,288 and 348,680 is: 497,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,288 : 348,680 = 348,680 : x
  2. Step 2: Convert to fraction form
    244,288/348,680 = 348,680/x
  3. Step 3: Cross multiply
    244,288x = 348,680 × 348,680
  4. Step 4: Simplify right side
    244,288x = 121,577,742,400
  5. Step 5: Solve for x
    x = 121,577,742,400/244,288
  6. Step 6: Final answer
    x = 497,682.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.