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Finding the Third Proportional to 297,618 and 449,110.50

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Solution

The third proportional to 297,618 and 449,110.50 is: 677,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,618 : 449,110.50 = 449,110.50 : x
  2. Step 2: Convert to fraction form
    297,618/449,110.50 = 449,110.50/x
  3. Step 3: Cross multiply
    297,618x = 449,110.50 × 449,110.50
  4. Step 4: Simplify right side
    297,618x = 201,700,241,210.25
  5. Step 5: Solve for x
    x = 201,700,241,210.25/297,618
  6. Step 6: Final answer
    x = 677,715.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.