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Finding the Third Proportional to 336,392 and 725,008

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Solution

The third proportional to 336,392 and 725,008 is: 1,562,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,392 : 725,008 = 725,008 : x
  2. Step 2: Convert to fraction form
    336,392/725,008 = 725,008/x
  3. Step 3: Cross multiply
    336,392x = 725,008 × 725,008
  4. Step 4: Simplify right side
    336,392x = 525,636,600,064
  5. Step 5: Solve for x
    x = 525,636,600,064/336,392
  6. Step 6: Final answer
    x = 1,562,571.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.