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Finding the Third Proportional to 336,392 and 716,384

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Solution

The third proportional to 336,392 and 716,384 is: 1,525,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,392 : 716,384 = 716,384 : x
  2. Step 2: Convert to fraction form
    336,392/716,384 = 716,384/x
  3. Step 3: Cross multiply
    336,392x = 716,384 × 716,384
  4. Step 4: Simplify right side
    336,392x = 513,206,035,456
  5. Step 5: Solve for x
    x = 513,206,035,456/336,392
  6. Step 6: Final answer
    x = 1,525,619.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.