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Finding the Third Proportional to 208,484.50 and 456,860

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Solution

The third proportional to 208,484.50 and 456,860 is: 1,001,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,484.50 : 456,860 = 456,860 : x
  2. Step 2: Convert to fraction form
    208,484.50/456,860 = 456,860/x
  3. Step 3: Cross multiply
    208,484.50x = 456,860 × 456,860
  4. Step 4: Simplify right side
    208,484.50x = 208,721,059,600
  5. Step 5: Solve for x
    x = 208,721,059,600/208,484.50
  6. Step 6: Final answer
    x = 1,001,134.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.