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Finding the Third Proportional to 260,890.88 and 553,766.63

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Solution

The third proportional to 260,890.88 and 553,766.63 is: 1,175,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,890.88 : 553,766.63 = 553,766.63 : x
  2. Step 2: Convert to fraction form
    260,890.88/553,766.63 = 553,766.63/x
  3. Step 3: Cross multiply
    260,890.88x = 553,766.63 × 553,766.63
  4. Step 4: Simplify right side
    260,890.88x = 306,657,474,963.89
  5. Step 5: Solve for x
    x = 306,657,474,963.89/260,890.88
  6. Step 6: Final answer
    x = 1,175,424.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.