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Finding the Third Proportional to 315,464.63 and 675,216

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Solution

The third proportional to 315,464.63 and 675,216 is: 1,445,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,464.63 : 675,216 = 675,216 : x
  2. Step 2: Convert to fraction form
    315,464.63/675,216 = 675,216/x
  3. Step 3: Cross multiply
    315,464.63x = 675,216 × 675,216
  4. Step 4: Simplify right side
    315,464.63x = 455,916,646,656
  5. Step 5: Solve for x
    x = 455,916,646,656/315,464.63
  6. Step 6: Final answer
    x = 1,445,222.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.