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Finding the Third Proportional to 357,718 and 786,032

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Solution

The third proportional to 357,718 and 786,032 is: 1,727,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,718 : 786,032 = 786,032 : x
  2. Step 2: Convert to fraction form
    357,718/786,032 = 786,032/x
  3. Step 3: Cross multiply
    357,718x = 786,032 × 786,032
  4. Step 4: Simplify right side
    357,718x = 617,846,305,024
  5. Step 5: Solve for x
    x = 617,846,305,024/357,718
  6. Step 6: Final answer
    x = 1,727,188.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.