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Finding the Third Proportional to 548,260 and 822,386

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Solution

The third proportional to 548,260 and 822,386 is: 1,233,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,260 : 822,386 = 822,386 : x
  2. Step 2: Convert to fraction form
    548,260/822,386 = 822,386/x
  3. Step 3: Cross multiply
    548,260x = 822,386 × 822,386
  4. Step 4: Simplify right side
    548,260x = 676,318,732,996
  5. Step 5: Solve for x
    x = 676,318,732,996/548,260
  6. Step 6: Final answer
    x = 1,233,573.00

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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.