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Finding the Third Proportional to 455,945.63 and 706,060.13

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Solution

The third proportional to 455,945.63 and 706,060.13 is: 1,093,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,945.63 : 706,060.13 = 706,060.13 : x
  2. Step 2: Convert to fraction form
    455,945.63/706,060.13 = 706,060.13/x
  3. Step 3: Cross multiply
    455,945.63x = 706,060.13 × 706,060.13
  4. Step 4: Simplify right side
    455,945.63x = 498,520,900,115.02
  5. Step 5: Solve for x
    x = 498,520,900,115.02/455,945.63
  6. Step 6: Final answer
    x = 1,093,377.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.