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Finding the Third Proportional to 293,456.25 and 446,345.44

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Solution

The third proportional to 293,456.25 and 446,345.44 is: 678,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,456.25 : 446,345.44 = 446,345.44 : x
  2. Step 2: Convert to fraction form
    293,456.25/446,345.44 = 446,345.44/x
  3. Step 3: Cross multiply
    293,456.25x = 446,345.44 × 446,345.44
  4. Step 4: Simplify right side
    293,456.25x = 199,224,249,577.07
  5. Step 5: Solve for x
    x = 199,224,249,577.07/293,456.25
  6. Step 6: Final answer
    x = 678,889.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.