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Finding the Third Proportional to 334,152 and 734,768

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Solution

The third proportional to 334,152 and 734,768 is: 1,615,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,152 : 734,768 = 734,768 : x
  2. Step 2: Convert to fraction form
    334,152/734,768 = 734,768/x
  3. Step 3: Cross multiply
    334,152x = 734,768 × 734,768
  4. Step 4: Simplify right side
    334,152x = 539,884,013,824
  5. Step 5: Solve for x
    x = 539,884,013,824/334,152
  6. Step 6: Final answer
    x = 1,615,683.92

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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.