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Finding the Third Proportional to 242,264 and 530,688

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Solution

The third proportional to 242,264 and 530,688 is: 1,162,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,264 : 530,688 = 530,688 : x
  2. Step 2: Convert to fraction form
    242,264/530,688 = 530,688/x
  3. Step 3: Cross multiply
    242,264x = 530,688 × 530,688
  4. Step 4: Simplify right side
    242,264x = 281,629,753,344
  5. Step 5: Solve for x
    x = 281,629,753,344/242,264
  6. Step 6: Final answer
    x = 1,162,491.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.