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Finding the Third Proportional to 334,995 and 730,216.50

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Solution

The third proportional to 334,995 and 730,216.50 is: 1,591,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,995 : 730,216.50 = 730,216.50 : x
  2. Step 2: Convert to fraction form
    334,995/730,216.50 = 730,216.50/x
  3. Step 3: Cross multiply
    334,995x = 730,216.50 × 730,216.50
  4. Step 4: Simplify right side
    334,995x = 533,216,136,872.25
  5. Step 5: Solve for x
    x = 533,216,136,872.25/334,995
  6. Step 6: Final answer
    x = 1,591,713.72

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