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Finding the Third Proportional to 294,672 and 636,297

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Solution

The third proportional to 294,672 and 636,297 is: 1,373,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,672 : 636,297 = 636,297 : x
  2. Step 2: Convert to fraction form
    294,672/636,297 = 636,297/x
  3. Step 3: Cross multiply
    294,672x = 636,297 × 636,297
  4. Step 4: Simplify right side
    294,672x = 404,873,872,209
  5. Step 5: Solve for x
    x = 404,873,872,209/294,672
  6. Step 6: Final answer
    x = 1,373,981.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.