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Finding the Third Proportional to 295,475 and 458,400

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Solution

The third proportional to 295,475 and 458,400 is: 711,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,475 : 458,400 = 458,400 : x
  2. Step 2: Convert to fraction form
    295,475/458,400 = 458,400/x
  3. Step 3: Cross multiply
    295,475x = 458,400 × 458,400
  4. Step 4: Simplify right side
    295,475x = 210,130,560,000
  5. Step 5: Solve for x
    x = 210,130,560,000/295,475
  6. Step 6: Final answer
    x = 711,161.89

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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.