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Finding the Third Proportional to 370,322.25 and 553,052.63

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Solution

The third proportional to 370,322.25 and 553,052.63 is: 825,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,322.25 : 553,052.63 = 553,052.63 : x
  2. Step 2: Convert to fraction form
    370,322.25/553,052.63 = 553,052.63/x
  3. Step 3: Cross multiply
    370,322.25x = 553,052.63 × 553,052.63
  4. Step 4: Simplify right side
    370,322.25x = 305,867,206,019.39
  5. Step 5: Solve for x
    x = 305,867,206,019.39/370,322.25
  6. Step 6: Final answer
    x = 825,948.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.