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Finding the Third Proportional to 314,620 and 471,963

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Solution

The third proportional to 314,620 and 471,963 is: 707,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,620 : 471,963 = 471,963 : x
  2. Step 2: Convert to fraction form
    314,620/471,963 = 471,963/x
  3. Step 3: Cross multiply
    314,620x = 471,963 × 471,963
  4. Step 4: Simplify right side
    314,620x = 222,749,073,369
  5. Step 5: Solve for x
    x = 222,749,073,369/314,620
  6. Step 6: Final answer
    x = 707,994.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.