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Finding the Third Proportional to 434,304 and 896,544

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Solution

The third proportional to 434,304 and 896,544 is: 1,850,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,304 : 896,544 = 896,544 : x
  2. Step 2: Convert to fraction form
    434,304/896,544 = 896,544/x
  3. Step 3: Cross multiply
    434,304x = 896,544 × 896,544
  4. Step 4: Simplify right side
    434,304x = 803,791,143,936
  5. Step 5: Solve for x
    x = 803,791,143,936/434,304
  6. Step 6: Final answer
    x = 1,850,756.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.