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Finding the Third Proportional to 369,740.88 and 584,963.25

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Solution

The third proportional to 369,740.88 and 584,963.25 is: 925,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,740.88 : 584,963.25 = 584,963.25 : x
  2. Step 2: Convert to fraction form
    369,740.88/584,963.25 = 584,963.25/x
  3. Step 3: Cross multiply
    369,740.88x = 584,963.25 × 584,963.25
  4. Step 4: Simplify right side
    369,740.88x = 342,182,003,850.56
  5. Step 5: Solve for x
    x = 342,182,003,850.56/369,740.88
  6. Step 6: Final answer
    x = 925,464.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.