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Finding the Third Proportional to 382,488 and 808,752

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Solution

The third proportional to 382,488 and 808,752 is: 1,710,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,488 : 808,752 = 808,752 : x
  2. Step 2: Convert to fraction form
    382,488/808,752 = 808,752/x
  3. Step 3: Cross multiply
    382,488x = 808,752 × 808,752
  4. Step 4: Simplify right side
    382,488x = 654,079,797,504
  5. Step 5: Solve for x
    x = 654,079,797,504/382,488
  6. Step 6: Final answer
    x = 1,710,066.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.