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Finding the Third Proportional to 550,414.50 and 910,954.50

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Solution

The third proportional to 550,414.50 and 910,954.50 is: 1,507,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,414.50 : 910,954.50 = 910,954.50 : x
  2. Step 2: Convert to fraction form
    550,414.50/910,954.50 = 910,954.50/x
  3. Step 3: Cross multiply
    550,414.50x = 910,954.50 × 910,954.50
  4. Step 4: Simplify right side
    550,414.50x = 829,838,101,070.25
  5. Step 5: Solve for x
    x = 829,838,101,070.25/550,414.50
  6. Step 6: Final answer
    x = 1,507,660.32

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.