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Finding the Third Proportional to 382,056 and 830,448

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Solution

The third proportional to 382,056 and 830,448 is: 1,805,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,056 : 830,448 = 830,448 : x
  2. Step 2: Convert to fraction form
    382,056/830,448 = 830,448/x
  3. Step 3: Cross multiply
    382,056x = 830,448 × 830,448
  4. Step 4: Simplify right side
    382,056x = 689,643,880,704
  5. Step 5: Solve for x
    x = 689,643,880,704/382,056
  6. Step 6: Final answer
    x = 1,805,085.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.