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Finding the Third Proportional to 356,848.50 and 553,200.75

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Solution

The third proportional to 356,848.50 and 553,200.75 is: 857,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,848.50 : 553,200.75 = 553,200.75 : x
  2. Step 2: Convert to fraction form
    356,848.50/553,200.75 = 553,200.75/x
  3. Step 3: Cross multiply
    356,848.50x = 553,200.75 × 553,200.75
  4. Step 4: Simplify right side
    356,848.50x = 306,031,069,800.56
  5. Step 5: Solve for x
    x = 306,031,069,800.56/356,848.50
  6. Step 6: Final answer
    x = 857,593.82

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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.