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Finding the Third Proportional to 464,486.63 and 654,103.13

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Solution

The third proportional to 464,486.63 and 654,103.13 is: 921,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,486.63 : 654,103.13 = 654,103.13 : x
  2. Step 2: Convert to fraction form
    464,486.63/654,103.13 = 654,103.13/x
  3. Step 3: Cross multiply
    464,486.63x = 654,103.13 × 654,103.13
  4. Step 4: Simplify right side
    464,486.63x = 427,850,898,134.77
  5. Step 5: Solve for x
    x = 427,850,898,134.77/464,486.63
  6. Step 6: Final answer
    x = 921,126.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.