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Finding the Third Proportional to 209,656.50 and 460,499

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Solution

The third proportional to 209,656.50 and 460,499 is: 1,011,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,656.50 : 460,499 = 460,499 : x
  2. Step 2: Convert to fraction form
    209,656.50/460,499 = 460,499/x
  3. Step 3: Cross multiply
    209,656.50x = 460,499 × 460,499
  4. Step 4: Simplify right side
    209,656.50x = 212,059,329,001
  5. Step 5: Solve for x
    x = 212,059,329,001/209,656.50
  6. Step 6: Final answer
    x = 1,011,460.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.