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Finding the Third Proportional to 285,448.50 and 610,254

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Solution

The third proportional to 285,448.50 and 610,254 is: 1,304,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,448.50 : 610,254 = 610,254 : x
  2. Step 2: Convert to fraction form
    285,448.50/610,254 = 610,254/x
  3. Step 3: Cross multiply
    285,448.50x = 610,254 × 610,254
  4. Step 4: Simplify right side
    285,448.50x = 372,409,944,516
  5. Step 5: Solve for x
    x = 372,409,944,516/285,448.50
  6. Step 6: Final answer
    x = 1,304,648.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.