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Finding the Third Proportional to 334,016.63 and 715,327.13

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Solution

The third proportional to 334,016.63 and 715,327.13 is: 1,531,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,016.63 : 715,327.13 = 715,327.13 : x
  2. Step 2: Convert to fraction form
    334,016.63/715,327.13 = 715,327.13/x
  3. Step 3: Cross multiply
    334,016.63x = 715,327.13 × 715,327.13
  4. Step 4: Simplify right side
    334,016.63x = 511,692,895,760.77
  5. Step 5: Solve for x
    x = 511,692,895,760.77/334,016.63
  6. Step 6: Final answer
    x = 1,531,938.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.