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Finding the Third Proportional to 315,218.50 and 471,714

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Solution

The third proportional to 315,218.50 and 471,714 is: 705,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,218.50 : 471,714 = 471,714 : x
  2. Step 2: Convert to fraction form
    315,218.50/471,714 = 471,714/x
  3. Step 3: Cross multiply
    315,218.50x = 471,714 × 471,714
  4. Step 4: Simplify right side
    315,218.50x = 222,514,097,796
  5. Step 5: Solve for x
    x = 222,514,097,796/315,218.50
  6. Step 6: Final answer
    x = 705,904.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.