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Finding the Third Proportional to 356,288 and 534,900

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Solution

The third proportional to 356,288 and 534,900 is: 803,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,288 : 534,900 = 534,900 : x
  2. Step 2: Convert to fraction form
    356,288/534,900 = 534,900/x
  3. Step 3: Cross multiply
    356,288x = 534,900 × 534,900
  4. Step 4: Simplify right side
    356,288x = 286,118,010,000
  5. Step 5: Solve for x
    x = 286,118,010,000/356,288
  6. Step 6: Final answer
    x = 803,052.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.