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Finding the Third Proportional to 295,494.75 and 648,415.13

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Solution

The third proportional to 295,494.75 and 648,415.13 is: 1,422,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,494.75 : 648,415.13 = 648,415.13 : x
  2. Step 2: Convert to fraction form
    295,494.75/648,415.13 = 648,415.13/x
  3. Step 3: Cross multiply
    295,494.75x = 648,415.13 × 648,415.13
  4. Step 4: Simplify right side
    295,494.75x = 420,442,174,328.77
  5. Step 5: Solve for x
    x = 420,442,174,328.77/295,494.75
  6. Step 6: Final answer
    x = 1,422,841.44

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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.