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Finding the Third Proportional to 384,160 and 838,304

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Solution

The third proportional to 384,160 and 838,304 is: 1,829,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,160 : 838,304 = 838,304 : x
  2. Step 2: Convert to fraction form
    384,160/838,304 = 838,304/x
  3. Step 3: Cross multiply
    384,160x = 838,304 × 838,304
  4. Step 4: Simplify right side
    384,160x = 702,753,596,416
  5. Step 5: Solve for x
    x = 702,753,596,416/384,160
  6. Step 6: Final answer
    x = 1,829,325.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.