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Finding the Third Proportional to 382,725 and 802,354

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Solution

The third proportional to 382,725 and 802,354 is: 1,682,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,725 : 802,354 = 802,354 : x
  2. Step 2: Convert to fraction form
    382,725/802,354 = 802,354/x
  3. Step 3: Cross multiply
    382,725x = 802,354 × 802,354
  4. Step 4: Simplify right side
    382,725x = 643,771,941,316
  5. Step 5: Solve for x
    x = 643,771,941,316/382,725
  6. Step 6: Final answer
    x = 1,682,074.44

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.