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Finding the Third Proportional to 244,323 and 530,424

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Solution

The third proportional to 244,323 and 530,424 is: 1,151,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,323 : 530,424 = 530,424 : x
  2. Step 2: Convert to fraction form
    244,323/530,424 = 530,424/x
  3. Step 3: Cross multiply
    244,323x = 530,424 × 530,424
  4. Step 4: Simplify right side
    244,323x = 281,349,619,776
  5. Step 5: Solve for x
    x = 281,349,619,776/244,323
  6. Step 6: Final answer
    x = 1,151,547.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.