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Finding the Third Proportional to 550,618 and 833,548

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Solution

The third proportional to 550,618 and 833,548 is: 1,261,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,618 : 833,548 = 833,548 : x
  2. Step 2: Convert to fraction form
    550,618/833,548 = 833,548/x
  3. Step 3: Cross multiply
    550,618x = 833,548 × 833,548
  4. Step 4: Simplify right side
    550,618x = 694,802,268,304
  5. Step 5: Solve for x
    x = 694,802,268,304/550,618
  6. Step 6: Final answer
    x = 1,261,858.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.