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Finding the Third Proportional to 244,264 and 530,307

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Solution

The third proportional to 244,264 and 530,307 is: 1,151,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,264 : 530,307 = 530,307 : x
  2. Step 2: Convert to fraction form
    244,264/530,307 = 530,307/x
  3. Step 3: Cross multiply
    244,264x = 530,307 × 530,307
  4. Step 4: Simplify right side
    244,264x = 281,225,514,249
  5. Step 5: Solve for x
    x = 281,225,514,249/244,264
  6. Step 6: Final answer
    x = 1,151,317.89

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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.