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Finding the Third Proportional to 302,355 and 633,870

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Solution

The third proportional to 302,355 and 633,870 is: 1,328,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,355 : 633,870 = 633,870 : x
  2. Step 2: Convert to fraction form
    302,355/633,870 = 633,870/x
  3. Step 3: Cross multiply
    302,355x = 633,870 × 633,870
  4. Step 4: Simplify right side
    302,355x = 401,791,176,900
  5. Step 5: Solve for x
    x = 401,791,176,900/302,355
  6. Step 6: Final answer
    x = 1,328,872.28

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Why These Related Problems?

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