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Finding the Third Proportional to 334,283 and 715,219

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Solution

The third proportional to 334,283 and 715,219 is: 1,530,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,283 : 715,219 = 715,219 : x
  2. Step 2: Convert to fraction form
    334,283/715,219 = 715,219/x
  3. Step 3: Cross multiply
    334,283x = 715,219 × 715,219
  4. Step 4: Simplify right side
    334,283x = 511,538,217,961
  5. Step 5: Solve for x
    x = 511,538,217,961/334,283
  6. Step 6: Final answer
    x = 1,530,254.96

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