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Finding the Third Proportional to 356,850 and 553,203.75

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Solution

The third proportional to 356,850 and 553,203.75 is: 857,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,850 : 553,203.75 = 553,203.75 : x
  2. Step 2: Convert to fraction form
    356,850/553,203.75 = 553,203.75/x
  3. Step 3: Cross multiply
    356,850x = 553,203.75 × 553,203.75
  4. Step 4: Simplify right side
    356,850x = 306,034,389,014.06
  5. Step 5: Solve for x
    x = 306,034,389,014.06/356,850
  6. Step 6: Final answer
    x = 857,599.52

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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.