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Finding the Third Proportional to 403,821.70 and 625,204.83

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Solution

The third proportional to 403,821.70 and 625,204.83 is: 967,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,821.70 : 625,204.83 = 625,204.83 : x
  2. Step 2: Convert to fraction form
    403,821.70/625,204.83 = 625,204.83/x
  3. Step 3: Cross multiply
    403,821.70x = 625,204.83 × 625,204.83
  4. Step 4: Simplify right side
    403,821.70x = 390,881,077,110.81
  5. Step 5: Solve for x
    x = 390,881,077,110.81/403,821.70
  6. Step 6: Final answer
    x = 967,954.60

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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.