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Finding the Third Proportional to 281,656.50 and 432,327

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Solution

The third proportional to 281,656.50 and 432,327 is: 663,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,656.50 : 432,327 = 432,327 : x
  2. Step 2: Convert to fraction form
    281,656.50/432,327 = 432,327/x
  3. Step 3: Cross multiply
    281,656.50x = 432,327 × 432,327
  4. Step 4: Simplify right side
    281,656.50x = 186,906,634,929
  5. Step 5: Solve for x
    x = 186,906,634,929/281,656.50
  6. Step 6: Final answer
    x = 663,597.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.