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Finding the Third Proportional to 301,664.25 and 624,206.25

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Solution

The third proportional to 301,664.25 and 624,206.25 is: 1,291,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,664.25 : 624,206.25 = 624,206.25 : x
  2. Step 2: Convert to fraction form
    301,664.25/624,206.25 = 624,206.25/x
  3. Step 3: Cross multiply
    301,664.25x = 624,206.25 × 624,206.25
  4. Step 4: Simplify right side
    301,664.25x = 389,633,442,539.06
  5. Step 5: Solve for x
    x = 389,633,442,539.06/301,664.25
  6. Step 6: Final answer
    x = 1,291,612.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.