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Finding the Third Proportional to 386,332.03 and 839,133.11

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Solution

The third proportional to 386,332.03 and 839,133.11 is: 1,822,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,332.03 : 839,133.11 = 839,133.11 : x
  2. Step 2: Convert to fraction form
    386,332.03/839,133.11 = 839,133.11/x
  3. Step 3: Cross multiply
    386,332.03x = 839,133.11 × 839,133.11
  4. Step 4: Simplify right side
    386,332.03x = 704,144,368,693.63
  5. Step 5: Solve for x
    x = 704,144,368,693.63/386,332.03
  6. Step 6: Final answer
    x = 1,822,640.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.