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Finding the Third Proportional to 429,669.56 and 933,233.06

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Solution

The third proportional to 429,669.56 and 933,233.06 is: 2,026,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,669.56 : 933,233.06 = 933,233.06 : x
  2. Step 2: Convert to fraction form
    429,669.56/933,233.06 = 933,233.06/x
  3. Step 3: Cross multiply
    429,669.56x = 933,233.06 × 933,233.06
  4. Step 4: Simplify right side
    429,669.56x = 870,923,948,943.13
  5. Step 5: Solve for x
    x = 870,923,948,943.13/429,669.56
  6. Step 6: Final answer
    x = 2,026,962.17

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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.