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Finding the Third Proportional to 291,093.75 and 434,848.50

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Solution

The third proportional to 291,093.75 and 434,848.50 is: 649,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,093.75 : 434,848.50 = 434,848.50 : x
  2. Step 2: Convert to fraction form
    291,093.75/434,848.50 = 434,848.50/x
  3. Step 3: Cross multiply
    291,093.75x = 434,848.50 × 434,848.50
  4. Step 4: Simplify right side
    291,093.75x = 189,093,217,952.25
  5. Step 5: Solve for x
    x = 189,093,217,952.25/291,093.75
  6. Step 6: Final answer
    x = 649,595.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.