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Finding the Third Proportional to 276,994 and 596,358

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Solution

The third proportional to 276,994 and 596,358 is: 1,283,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,994 : 596,358 = 596,358 : x
  2. Step 2: Convert to fraction form
    276,994/596,358 = 596,358/x
  3. Step 3: Cross multiply
    276,994x = 596,358 × 596,358
  4. Step 4: Simplify right side
    276,994x = 355,642,864,164
  5. Step 5: Solve for x
    x = 355,642,864,164/276,994
  6. Step 6: Final answer
    x = 1,283,937.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.