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Finding the Third Proportional to 238,560.75 and 514,482.75

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Solution

The third proportional to 238,560.75 and 514,482.75 is: 1,109,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,560.75 : 514,482.75 = 514,482.75 : x
  2. Step 2: Convert to fraction form
    238,560.75/514,482.75 = 514,482.75/x
  3. Step 3: Cross multiply
    238,560.75x = 514,482.75 × 514,482.75
  4. Step 4: Simplify right side
    238,560.75x = 264,692,500,047.56
  5. Step 5: Solve for x
    x = 264,692,500,047.56/238,560.75
  6. Step 6: Final answer
    x = 1,109,539.18

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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.