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Finding the Third Proportional to 336,905 and 736,043

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Solution

The third proportional to 336,905 and 736,043 is: 1,608,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,905 : 736,043 = 736,043 : x
  2. Step 2: Convert to fraction form
    336,905/736,043 = 736,043/x
  3. Step 3: Cross multiply
    336,905x = 736,043 × 736,043
  4. Step 4: Simplify right side
    336,905x = 541,759,297,849
  5. Step 5: Solve for x
    x = 541,759,297,849/336,905
  6. Step 6: Final answer
    x = 1,608,047.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.