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Finding the Third Proportional to 240,585.19 and 520,870.50

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Solution

The third proportional to 240,585.19 and 520,870.50 is: 1,127,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,585.19 : 520,870.50 = 520,870.50 : x
  2. Step 2: Convert to fraction form
    240,585.19/520,870.50 = 520,870.50/x
  3. Step 3: Cross multiply
    240,585.19x = 520,870.50 × 520,870.50
  4. Step 4: Simplify right side
    240,585.19x = 271,306,077,770.25
  5. Step 5: Solve for x
    x = 271,306,077,770.25/240,585.19
  6. Step 6: Final answer
    x = 1,127,692.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.