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Finding the Third Proportional to 260,034 and 559,432.50

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Solution

The third proportional to 260,034 and 559,432.50 is: 1,203,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,034 : 559,432.50 = 559,432.50 : x
  2. Step 2: Convert to fraction form
    260,034/559,432.50 = 559,432.50/x
  3. Step 3: Cross multiply
    260,034x = 559,432.50 × 559,432.50
  4. Step 4: Simplify right side
    260,034x = 312,964,722,056.25
  5. Step 5: Solve for x
    x = 312,964,722,056.25/260,034
  6. Step 6: Final answer
    x = 1,203,553.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.