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Finding the Third Proportional to 576,985.50 and 1,335,616.75

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Solution

The third proportional to 576,985.50 and 1,335,616.75 is: 3,091,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,985.50 : 1,335,616.75 = 1,335,616.75 : x
  2. Step 2: Convert to fraction form
    576,985.50/1,335,616.75 = 1,335,616.75/x
  3. Step 3: Cross multiply
    576,985.50x = 1,335,616.75 × 1,335,616.75
  4. Step 4: Simplify right side
    576,985.50x = 1,783,872,102,880.56
  5. Step 5: Solve for x
    x = 1,783,872,102,880.56/576,985.50
  6. Step 6: Final answer
    x = 3,091,710.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.