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Finding the Third Proportional to 322,648 and 740,572

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Solution

The third proportional to 322,648 and 740,572 is: 1,699,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,648 : 740,572 = 740,572 : x
  2. Step 2: Convert to fraction form
    322,648/740,572 = 740,572/x
  3. Step 3: Cross multiply
    322,648x = 740,572 × 740,572
  4. Step 4: Simplify right side
    322,648x = 548,446,887,184
  5. Step 5: Solve for x
    x = 548,446,887,184/322,648
  6. Step 6: Final answer
    x = 1,699,830.43

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.