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Finding the Third Proportional to 334,679 and 735,487

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Solution

The third proportional to 334,679 and 735,487 is: 1,616,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,679 : 735,487 = 735,487 : x
  2. Step 2: Convert to fraction form
    334,679/735,487 = 735,487/x
  3. Step 3: Cross multiply
    334,679x = 735,487 × 735,487
  4. Step 4: Simplify right side
    334,679x = 540,941,127,169
  5. Step 5: Solve for x
    x = 540,941,127,169/334,679
  6. Step 6: Final answer
    x = 1,616,298.38

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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.