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Finding the Third Proportional to 349,656.75 and 772,827.75

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Solution

The third proportional to 349,656.75 and 772,827.75 is: 1,708,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,656.75 : 772,827.75 = 772,827.75 : x
  2. Step 2: Convert to fraction form
    349,656.75/772,827.75 = 772,827.75/x
  3. Step 3: Cross multiply
    349,656.75x = 772,827.75 × 772,827.75
  4. Step 4: Simplify right side
    349,656.75x = 597,262,731,170.06
  5. Step 5: Solve for x
    x = 597,262,731,170.06/349,656.75
  6. Step 6: Final answer
    x = 1,708,140.14

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.