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Finding the Third Proportional to 552,323 and 857,215.50

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Solution

The third proportional to 552,323 and 857,215.50 is: 1,330,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,323 : 857,215.50 = 857,215.50 : x
  2. Step 2: Convert to fraction form
    552,323/857,215.50 = 857,215.50/x
  3. Step 3: Cross multiply
    552,323x = 857,215.50 × 857,215.50
  4. Step 4: Simplify right side
    552,323x = 734,818,413,440.25
  5. Step 5: Solve for x
    x = 734,818,413,440.25/552,323
  6. Step 6: Final answer
    x = 1,330,414.29

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