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Finding the Third Proportional to 337,088 and 712,192

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Solution

The third proportional to 337,088 and 712,192 is: 1,504,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,088 : 712,192 = 712,192 : x
  2. Step 2: Convert to fraction form
    337,088/712,192 = 712,192/x
  3. Step 3: Cross multiply
    337,088x = 712,192 × 712,192
  4. Step 4: Simplify right side
    337,088x = 507,217,444,864
  5. Step 5: Solve for x
    x = 507,217,444,864/337,088
  6. Step 6: Final answer
    x = 1,504,703.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.