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Finding the Third Proportional to 301,714.13 and 455,646.75

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Solution

The third proportional to 301,714.13 and 455,646.75 is: 688,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,714.13 : 455,646.75 = 455,646.75 : x
  2. Step 2: Convert to fraction form
    301,714.13/455,646.75 = 455,646.75/x
  3. Step 3: Cross multiply
    301,714.13x = 455,646.75 × 455,646.75
  4. Step 4: Simplify right side
    301,714.13x = 207,613,960,785.56
  5. Step 5: Solve for x
    x = 207,613,960,785.56/301,714.13
  6. Step 6: Final answer
    x = 688,114.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.