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Finding the Third Proportional to 548,235 and 822,352.50

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Solution

The third proportional to 548,235 and 822,352.50 is: 1,233,528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,235 : 822,352.50 = 822,352.50 : x
  2. Step 2: Convert to fraction form
    548,235/822,352.50 = 822,352.50/x
  3. Step 3: Cross multiply
    548,235x = 822,352.50 × 822,352.50
  4. Step 4: Simplify right side
    548,235x = 676,263,634,256.25
  5. Step 5: Solve for x
    x = 676,263,634,256.25/548,235
  6. Step 6: Final answer
    x = 1,233,528.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.