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Finding the Third Proportional to 336,404 and 716,408

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Solution

The third proportional to 336,404 and 716,408 is: 1,525,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,404 : 716,408 = 716,408 : x
  2. Step 2: Convert to fraction form
    336,404/716,408 = 716,408/x
  3. Step 3: Cross multiply
    336,404x = 716,408 × 716,408
  4. Step 4: Simplify right side
    336,404x = 513,240,422,464
  5. Step 5: Solve for x
    x = 513,240,422,464/336,404
  6. Step 6: Final answer
    x = 1,525,666.82

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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.