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Finding the Third Proportional to 296,367.75 and 458,464.50

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Solution

The third proportional to 296,367.75 and 458,464.50 is: 709,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,367.75 : 458,464.50 = 458,464.50 : x
  2. Step 2: Convert to fraction form
    296,367.75/458,464.50 = 458,464.50/x
  3. Step 3: Cross multiply
    296,367.75x = 458,464.50 × 458,464.50
  4. Step 4: Simplify right side
    296,367.75x = 210,189,697,760.25
  5. Step 5: Solve for x
    x = 210,189,697,760.25/296,367.75
  6. Step 6: Final answer
    x = 709,219.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.