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Finding the Third Proportional to 314,624 and 471,969

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Solution

The third proportional to 314,624 and 471,969 is: 708,003.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,624 : 471,969 = 471,969 : x
  2. Step 2: Convert to fraction form
    314,624/471,969 = 471,969/x
  3. Step 3: Cross multiply
    314,624x = 471,969 × 471,969
  4. Step 4: Simplify right side
    314,624x = 222,754,736,961
  5. Step 5: Solve for x
    x = 222,754,736,961/314,624
  6. Step 6: Final answer
    x = 708,003.00

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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.