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Finding the Third Proportional to 334,072 and 734,304

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Solution

The third proportional to 334,072 and 734,304 is: 1,614,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,072 : 734,304 = 734,304 : x
  2. Step 2: Convert to fraction form
    334,072/734,304 = 734,304/x
  3. Step 3: Cross multiply
    334,072x = 734,304 × 734,304
  4. Step 4: Simplify right side
    334,072x = 539,202,364,416
  5. Step 5: Solve for x
    x = 539,202,364,416/334,072
  6. Step 6: Final answer
    x = 1,614,030.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.