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Finding the Third Proportional to 223,501.50 and 486,900

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Solution

The third proportional to 223,501.50 and 486,900 is: 1,060,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,501.50 : 486,900 = 486,900 : x
  2. Step 2: Convert to fraction form
    223,501.50/486,900 = 486,900/x
  3. Step 3: Cross multiply
    223,501.50x = 486,900 × 486,900
  4. Step 4: Simplify right side
    223,501.50x = 237,071,610,000
  5. Step 5: Solve for x
    x = 237,071,610,000/223,501.50
  6. Step 6: Final answer
    x = 1,060,715.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.