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Finding the Third Proportional to 336,856 and 730,880

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Solution

The third proportional to 336,856 and 730,880 is: 1,585,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,856 : 730,880 = 730,880 : x
  2. Step 2: Convert to fraction form
    336,856/730,880 = 730,880/x
  3. Step 3: Cross multiply
    336,856x = 730,880 × 730,880
  4. Step 4: Simplify right side
    336,856x = 534,185,574,400
  5. Step 5: Solve for x
    x = 534,185,574,400/336,856
  6. Step 6: Final answer
    x = 1,585,798.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.