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Finding the Third Proportional to 281,932.31 and 607,876.31

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Solution

The third proportional to 281,932.31 and 607,876.31 is: 1,310,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,932.31 : 607,876.31 = 607,876.31 : x
  2. Step 2: Convert to fraction form
    281,932.31/607,876.31 = 607,876.31/x
  3. Step 3: Cross multiply
    281,932.31x = 607,876.31 × 607,876.31
  4. Step 4: Simplify right side
    281,932.31x = 369,513,611,298.60
  5. Step 5: Solve for x
    x = 369,513,611,298.60/281,932.31
  6. Step 6: Final answer
    x = 1,310,646.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.