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Finding the Third Proportional to 264,328.31 and 425,607.22

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Solution

The third proportional to 264,328.31 and 425,607.22 is: 685,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,328.31 : 425,607.22 = 425,607.22 : x
  2. Step 2: Convert to fraction form
    264,328.31/425,607.22 = 425,607.22/x
  3. Step 3: Cross multiply
    264,328.31x = 425,607.22 × 425,607.22
  4. Step 4: Simplify right side
    264,328.31x = 181,141,507,977.17
  5. Step 5: Solve for x
    x = 181,141,507,977.17/264,328.31
  6. Step 6: Final answer
    x = 685,289.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.