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Finding the Third Proportional to 491,184 and 760,752

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Solution

The third proportional to 491,184 and 760,752 is: 1,178,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,184 : 760,752 = 760,752 : x
  2. Step 2: Convert to fraction form
    491,184/760,752 = 760,752/x
  3. Step 3: Cross multiply
    491,184x = 760,752 × 760,752
  4. Step 4: Simplify right side
    491,184x = 578,743,605,504
  5. Step 5: Solve for x
    x = 578,743,605,504/491,184
  6. Step 6: Final answer
    x = 1,178,262.33

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Why These Related Problems?

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