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Finding the Third Proportional to 356,849.25 and 553,201.88

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Solution

The third proportional to 356,849.25 and 553,201.88 is: 857,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,849.25 : 553,201.88 = 553,201.88 : x
  2. Step 2: Convert to fraction form
    356,849.25/553,201.88 = 553,201.88/x
  3. Step 3: Cross multiply
    356,849.25x = 553,201.88 × 553,201.88
  4. Step 4: Simplify right side
    356,849.25x = 306,032,314,503.52
  5. Step 5: Solve for x
    x = 306,032,314,503.52/356,849.25
  6. Step 6: Final answer
    x = 857,595.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.