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Finding the Third Proportional to 405,031.50 and 886,311

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Solution

The third proportional to 405,031.50 and 886,311 is: 1,939,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,031.50 : 886,311 = 886,311 : x
  2. Step 2: Convert to fraction form
    405,031.50/886,311 = 886,311/x
  3. Step 3: Cross multiply
    405,031.50x = 886,311 × 886,311
  4. Step 4: Simplify right side
    405,031.50x = 785,547,188,721
  5. Step 5: Solve for x
    x = 785,547,188,721/405,031.50
  6. Step 6: Final answer
    x = 1,939,471.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.