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Finding the Third Proportional to 349,878.23 and 763,061.77

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Solution

The third proportional to 349,878.23 and 763,061.77 is: 1,664,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,878.23 : 763,061.77 = 763,061.77 : x
  2. Step 2: Convert to fraction form
    349,878.23/763,061.77 = 763,061.77/x
  3. Step 3: Cross multiply
    349,878.23x = 763,061.77 × 763,061.77
  4. Step 4: Simplify right side
    349,878.23x = 582,263,258,158.74
  5. Step 5: Solve for x
    x = 582,263,258,158.74/349,878.23
  6. Step 6: Final answer
    x = 1,664,188.28

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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.