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Finding the Third Proportional to 583,214.34 and 833,997.52

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Solution

The third proportional to 583,214.34 and 833,997.52 is: 1,192,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,214.34 : 833,997.52 = 833,997.52 : x
  2. Step 2: Convert to fraction form
    583,214.34/833,997.52 = 833,997.52/x
  3. Step 3: Cross multiply
    583,214.34x = 833,997.52 × 833,997.52
  4. Step 4: Simplify right side
    583,214.34x = 695,551,856,068.67
  5. Step 5: Solve for x
    x = 695,551,856,068.67/583,214.34
  6. Step 6: Final answer
    x = 1,192,617.88

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.