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Finding the Third Proportional to 588,908 and 918,354

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Solution

The third proportional to 588,908 and 918,354 is: 1,432,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,908 : 918,354 = 918,354 : x
  2. Step 2: Convert to fraction form
    588,908/918,354 = 918,354/x
  3. Step 3: Cross multiply
    588,908x = 918,354 × 918,354
  4. Step 4: Simplify right side
    588,908x = 843,374,069,316
  5. Step 5: Solve for x
    x = 843,374,069,316/588,908
  6. Step 6: Final answer
    x = 1,432,098.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.