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Finding the Third Proportional to 356,613 and 529,024.50

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Solution

The third proportional to 356,613 and 529,024.50 is: 784,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,613 : 529,024.50 = 529,024.50 : x
  2. Step 2: Convert to fraction form
    356,613/529,024.50 = 529,024.50/x
  3. Step 3: Cross multiply
    356,613x = 529,024.50 × 529,024.50
  4. Step 4: Simplify right side
    356,613x = 279,866,921,600.25
  5. Step 5: Solve for x
    x = 279,866,921,600.25/356,613
  6. Step 6: Final answer
    x = 784,791.70

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.