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Finding the Third Proportional to 281,689.31 and 608,482.13

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Solution

The third proportional to 281,689.31 and 608,482.13 is: 1,314,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,689.31 : 608,482.13 = 608,482.13 : x
  2. Step 2: Convert to fraction form
    281,689.31/608,482.13 = 608,482.13/x
  3. Step 3: Cross multiply
    281,689.31x = 608,482.13 × 608,482.13
  4. Step 4: Simplify right side
    281,689.31x = 370,250,496,444.52
  5. Step 5: Solve for x
    x = 370,250,496,444.52/281,689.31
  6. Step 6: Final answer
    x = 1,314,393.13

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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.