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Finding the Third Proportional to 299,286 and 665,005.50

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Solution

The third proportional to 299,286 and 665,005.50 is: 1,477,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,286 : 665,005.50 = 665,005.50 : x
  2. Step 2: Convert to fraction form
    299,286/665,005.50 = 665,005.50/x
  3. Step 3: Cross multiply
    299,286x = 665,005.50 × 665,005.50
  4. Step 4: Simplify right side
    299,286x = 442,232,315,030.25
  5. Step 5: Solve for x
    x = 442,232,315,030.25/299,286
  6. Step 6: Final answer
    x = 1,477,624.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.