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Finding the Third Proportional to 541,566 and 841,954.50

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Solution

The third proportional to 541,566 and 841,954.50 is: 1,308,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,566 : 841,954.50 = 841,954.50 : x
  2. Step 2: Convert to fraction form
    541,566/841,954.50 = 841,954.50/x
  3. Step 3: Cross multiply
    541,566x = 841,954.50 × 841,954.50
  4. Step 4: Simplify right side
    541,566x = 708,887,380,070.25
  5. Step 5: Solve for x
    x = 708,887,380,070.25/541,566
  6. Step 6: Final answer
    x = 1,308,958.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.