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Finding the Third Proportional to 336,414 and 560,661

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Solution

The third proportional to 336,414 and 560,661 is: 934,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,414 : 560,661 = 560,661 : x
  2. Step 2: Convert to fraction form
    336,414/560,661 = 560,661/x
  3. Step 3: Cross multiply
    336,414x = 560,661 × 560,661
  4. Step 4: Simplify right side
    336,414x = 314,340,756,921
  5. Step 5: Solve for x
    x = 314,340,756,921/336,414
  6. Step 6: Final answer
    x = 934,386.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.