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Finding the Third Proportional to 437,071 and 659,623

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Solution

The third proportional to 437,071 and 659,623 is: 995,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,071 : 659,623 = 659,623 : x
  2. Step 2: Convert to fraction form
    437,071/659,623 = 659,623/x
  3. Step 3: Cross multiply
    437,071x = 659,623 × 659,623
  4. Step 4: Simplify right side
    437,071x = 435,102,502,129
  5. Step 5: Solve for x
    x = 435,102,502,129/437,071
  6. Step 6: Final answer
    x = 995,496.16

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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.