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Finding the Third Proportional to 358,263 and 559,183.50

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Solution

The third proportional to 358,263 and 559,183.50 is: 872,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,263 : 559,183.50 = 559,183.50 : x
  2. Step 2: Convert to fraction form
    358,263/559,183.50 = 559,183.50/x
  3. Step 3: Cross multiply
    358,263x = 559,183.50 × 559,183.50
  4. Step 4: Simplify right side
    358,263x = 312,686,186,672.25
  5. Step 5: Solve for x
    x = 312,686,186,672.25/358,263
  6. Step 6: Final answer
    x = 872,783.92

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Why These Related Problems?

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