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Finding the Third Proportional to 336,475 and 725,782.25

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Solution

The third proportional to 336,475 and 725,782.25 is: 1,565,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,475 : 725,782.25 = 725,782.25 : x
  2. Step 2: Convert to fraction form
    336,475/725,782.25 = 725,782.25/x
  3. Step 3: Cross multiply
    336,475x = 725,782.25 × 725,782.25
  4. Step 4: Simplify right side
    336,475x = 526,759,874,415.06
  5. Step 5: Solve for x
    x = 526,759,874,415.06/336,475
  6. Step 6: Final answer
    x = 1,565,524.55

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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.