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Finding the Third Proportional to 336,991.50 and 715,531.50

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Solution

The third proportional to 336,991.50 and 715,531.50 is: 1,519,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,991.50 : 715,531.50 = 715,531.50 : x
  2. Step 2: Convert to fraction form
    336,991.50/715,531.50 = 715,531.50/x
  3. Step 3: Cross multiply
    336,991.50x = 715,531.50 × 715,531.50
  4. Step 4: Simplify right side
    336,991.50x = 511,985,327,492.25
  5. Step 5: Solve for x
    x = 511,985,327,492.25/336,991.50
  6. Step 6: Final answer
    x = 1,519,282.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.