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Finding the Third Proportional to 305,282 and 466,987

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Solution

The third proportional to 305,282 and 466,987 is: 714,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,282 : 466,987 = 466,987 : x
  2. Step 2: Convert to fraction form
    305,282/466,987 = 466,987/x
  3. Step 3: Cross multiply
    305,282x = 466,987 × 466,987
  4. Step 4: Simplify right side
    305,282x = 218,076,858,169
  5. Step 5: Solve for x
    x = 218,076,858,169/305,282
  6. Step 6: Final answer
    x = 714,345.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.