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Finding the Third Proportional to 310,030.03 and 671,443.17

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Solution

The third proportional to 310,030.03 and 671,443.17 is: 1,454,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,030.03 : 671,443.17 = 671,443.17 : x
  2. Step 2: Convert to fraction form
    310,030.03/671,443.17 = 671,443.17/x
  3. Step 3: Cross multiply
    310,030.03x = 671,443.17 × 671,443.17
  4. Step 4: Simplify right side
    310,030.03x = 450,835,933,057.56
  5. Step 5: Solve for x
    x = 450,835,933,057.56/310,030.03
  6. Step 6: Final answer
    x = 1,454,168.59

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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.