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Finding the Third Proportional to 463,848.75 and 661,537.13

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Solution

The third proportional to 463,848.75 and 661,537.13 is: 943,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,848.75 : 661,537.13 = 661,537.13 : x
  2. Step 2: Convert to fraction form
    463,848.75/661,537.13 = 661,537.13/x
  3. Step 3: Cross multiply
    463,848.75x = 661,537.13 × 661,537.13
  4. Step 4: Simplify right side
    463,848.75x = 437,631,367,753.27
  5. Step 5: Solve for x
    x = 437,631,367,753.27/463,848.75
  6. Step 6: Final answer
    x = 943,478.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.