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Finding the Third Proportional to 245,952 and 530,649

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Solution

The third proportional to 245,952 and 530,649 is: 1,144,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,952 : 530,649 = 530,649 : x
  2. Step 2: Convert to fraction form
    245,952/530,649 = 530,649/x
  3. Step 3: Cross multiply
    245,952x = 530,649 × 530,649
  4. Step 4: Simplify right side
    245,952x = 281,588,361,201
  5. Step 5: Solve for x
    x = 281,588,361,201/245,952
  6. Step 6: Final answer
    x = 1,144,891.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.