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Finding the Third Proportional to 321,782.63 and 472,695.75

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Solution

The third proportional to 321,782.63 and 472,695.75 is: 694,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,782.63 : 472,695.75 = 472,695.75 : x
  2. Step 2: Convert to fraction form
    321,782.63/472,695.75 = 472,695.75/x
  3. Step 3: Cross multiply
    321,782.63x = 472,695.75 × 472,695.75
  4. Step 4: Simplify right side
    321,782.63x = 223,441,272,068.06
  5. Step 5: Solve for x
    x = 223,441,272,068.06/321,782.63
  6. Step 6: Final answer
    x = 694,385.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.