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Finding the Third Proportional to 334,322.44 and 729,577.13

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Solution

The third proportional to 334,322.44 and 729,577.13 is: 1,592,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,322.44 : 729,577.13 = 729,577.13 : x
  2. Step 2: Convert to fraction form
    334,322.44/729,577.13 = 729,577.13/x
  3. Step 3: Cross multiply
    334,322.44x = 729,577.13 × 729,577.13
  4. Step 4: Simplify right side
    334,322.44x = 532,282,781,323.27
  5. Step 5: Solve for x
    x = 532,282,781,323.27/334,322.44
  6. Step 6: Final answer
    x = 1,592,124.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.