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Finding the Third Proportional to 334,677 and 735,483

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Solution

The third proportional to 334,677 and 735,483 is: 1,616,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,677 : 735,483 = 735,483 : x
  2. Step 2: Convert to fraction form
    334,677/735,483 = 735,483/x
  3. Step 3: Cross multiply
    334,677x = 735,483 × 735,483
  4. Step 4: Simplify right side
    334,677x = 540,935,243,289
  5. Step 5: Solve for x
    x = 540,935,243,289/334,677
  6. Step 6: Final answer
    x = 1,616,290.46

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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.