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Finding the Third Proportional to 336,724 and 748,180

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Solution

The third proportional to 336,724 and 748,180 is: 1,662,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,724 : 748,180 = 748,180 : x
  2. Step 2: Convert to fraction form
    336,724/748,180 = 748,180/x
  3. Step 3: Cross multiply
    336,724x = 748,180 × 748,180
  4. Step 4: Simplify right side
    336,724x = 559,773,312,400
  5. Step 5: Solve for x
    x = 559,773,312,400/336,724
  6. Step 6: Final answer
    x = 1,662,409.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.