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Finding the Third Proportional to 553,201.50 and 854,366.25

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Solution

The third proportional to 553,201.50 and 854,366.25 is: 1,319,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,201.50 : 854,366.25 = 854,366.25 : x
  2. Step 2: Convert to fraction form
    553,201.50/854,366.25 = 854,366.25/x
  3. Step 3: Cross multiply
    553,201.50x = 854,366.25 × 854,366.25
  4. Step 4: Simplify right side
    553,201.50x = 729,941,689,139.06
  5. Step 5: Solve for x
    x = 729,941,689,139.06/553,201.50
  6. Step 6: Final answer
    x = 1,319,486.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.