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Finding the Third Proportional to 306,401 and 457,765.50

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Solution

The third proportional to 306,401 and 457,765.50 is: 683,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,401 : 457,765.50 = 457,765.50 : x
  2. Step 2: Convert to fraction form
    306,401/457,765.50 = 457,765.50/x
  3. Step 3: Cross multiply
    306,401x = 457,765.50 × 457,765.50
  4. Step 4: Simplify right side
    306,401x = 209,549,252,990.25
  5. Step 5: Solve for x
    x = 209,549,252,990.25/306,401
  6. Step 6: Final answer
    x = 683,905.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.