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Finding the Third Proportional to 334,152 and 734,464

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Solution

The third proportional to 334,152 and 734,464 is: 1,614,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,152 : 734,464 = 734,464 : x
  2. Step 2: Convert to fraction form
    334,152/734,464 = 734,464/x
  3. Step 3: Cross multiply
    334,152x = 734,464 × 734,464
  4. Step 4: Simplify right side
    334,152x = 539,437,367,296
  5. Step 5: Solve for x
    x = 539,437,367,296/334,152
  6. Step 6: Final answer
    x = 1,614,347.27

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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.