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Finding the Third Proportional to 247,774 and 530,528

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Solution

The third proportional to 247,774 and 530,528 is: 1,135,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,774 : 530,528 = 530,528 : x
  2. Step 2: Convert to fraction form
    247,774/530,528 = 530,528/x
  3. Step 3: Cross multiply
    247,774x = 530,528 × 530,528
  4. Step 4: Simplify right side
    247,774x = 281,459,958,784
  5. Step 5: Solve for x
    x = 281,459,958,784/247,774
  6. Step 6: Final answer
    x = 1,135,954.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.