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Finding the Third Proportional to 268,206 and 558,457.50

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Solution

The third proportional to 268,206 and 558,457.50 is: 1,162,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,206 : 558,457.50 = 558,457.50 : x
  2. Step 2: Convert to fraction form
    268,206/558,457.50 = 558,457.50/x
  3. Step 3: Cross multiply
    268,206x = 558,457.50 × 558,457.50
  4. Step 4: Simplify right side
    268,206x = 311,874,779,306.25
  5. Step 5: Solve for x
    x = 311,874,779,306.25/268,206
  6. Step 6: Final answer
    x = 1,162,818.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.