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Finding the Third Proportional to 235,266 and 555,297

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Solution

The third proportional to 235,266 and 555,297 is: 1,310,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,266 : 555,297 = 555,297 : x
  2. Step 2: Convert to fraction form
    235,266/555,297 = 555,297/x
  3. Step 3: Cross multiply
    235,266x = 555,297 × 555,297
  4. Step 4: Simplify right side
    235,266x = 308,354,758,209
  5. Step 5: Solve for x
    x = 308,354,758,209/235,266
  6. Step 6: Final answer
    x = 1,310,664.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.