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Finding the Third Proportional to 242,469 and 530,082

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Solution

The third proportional to 242,469 and 530,082 is: 1,158,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,469 : 530,082 = 530,082 : x
  2. Step 2: Convert to fraction form
    242,469/530,082 = 530,082/x
  3. Step 3: Cross multiply
    242,469x = 530,082 × 530,082
  4. Step 4: Simplify right side
    242,469x = 280,986,926,724
  5. Step 5: Solve for x
    x = 280,986,926,724/242,469
  6. Step 6: Final answer
    x = 1,158,857.12

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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.