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Finding the Third Proportional to 334,160 and 734,784

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Solution

The third proportional to 334,160 and 734,784 is: 1,615,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,160 : 734,784 = 734,784 : x
  2. Step 2: Convert to fraction form
    334,160/734,784 = 734,784/x
  3. Step 3: Cross multiply
    334,160x = 734,784 × 734,784
  4. Step 4: Simplify right side
    334,160x = 539,907,526,656
  5. Step 5: Solve for x
    x = 539,907,526,656/334,160
  6. Step 6: Final answer
    x = 1,615,715.61

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Why These Related Problems?

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