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Finding the Third Proportional to 295,619.20 and 648,464.91

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Solution

The third proportional to 295,619.20 and 648,464.91 is: 1,422,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,619.20 : 648,464.91 = 648,464.91 : x
  2. Step 2: Convert to fraction form
    295,619.20/648,464.91 = 648,464.91/x
  3. Step 3: Cross multiply
    295,619.20x = 648,464.91 × 648,464.91
  4. Step 4: Simplify right side
    295,619.20x = 420,506,734,637.82
  5. Step 5: Solve for x
    x = 420,506,734,637.82/295,619.20
  6. Step 6: Final answer
    x = 1,422,460.82

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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.