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Finding the Third Proportional to 260,047 and 389,017.50

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Solution

The third proportional to 260,047 and 389,017.50 is: 581,951.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,047 : 389,017.50 = 389,017.50 : x
  2. Step 2: Convert to fraction form
    260,047/389,017.50 = 389,017.50/x
  3. Step 3: Cross multiply
    260,047x = 389,017.50 × 389,017.50
  4. Step 4: Simplify right side
    260,047x = 151,334,615,306.25
  5. Step 5: Solve for x
    x = 151,334,615,306.25/260,047
  6. Step 6: Final answer
    x = 581,951.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.