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Finding the Third Proportional to 455,032.69 and 655,484.91

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Solution

The third proportional to 455,032.69 and 655,484.91 is: 944,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,032.69 : 655,484.91 = 655,484.91 : x
  2. Step 2: Convert to fraction form
    455,032.69/655,484.91 = 655,484.91/x
  3. Step 3: Cross multiply
    455,032.69x = 655,484.91 × 655,484.91
  4. Step 4: Simplify right side
    455,032.69x = 429,660,462,321.57
  5. Step 5: Solve for x
    x = 429,660,462,321.57/455,032.69
  6. Step 6: Final answer
    x = 944,240.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.