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Finding the Third Proportional to 415,290 and 593,866.50

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Solution

The third proportional to 415,290 and 593,866.50 is: 849,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,290 : 593,866.50 = 593,866.50 : x
  2. Step 2: Convert to fraction form
    415,290/593,866.50 = 593,866.50/x
  3. Step 3: Cross multiply
    415,290x = 593,866.50 × 593,866.50
  4. Step 4: Simplify right side
    415,290x = 352,677,419,822.25
  5. Step 5: Solve for x
    x = 352,677,419,822.25/415,290
  6. Step 6: Final answer
    x = 849,231.67

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.