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Finding the Third Proportional to 405,058.50 and 886,365

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Solution

The third proportional to 405,058.50 and 886,365 is: 1,939,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,058.50 : 886,365 = 886,365 : x
  2. Step 2: Convert to fraction form
    405,058.50/886,365 = 886,365/x
  3. Step 3: Cross multiply
    405,058.50x = 886,365 × 886,365
  4. Step 4: Simplify right side
    405,058.50x = 785,642,913,225
  5. Step 5: Solve for x
    x = 785,642,913,225/405,058.50
  6. Step 6: Final answer
    x = 1,939,578.88

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Why These Related Problems?

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