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Finding the Third Proportional to 357,396.75 and 785,871

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Solution

The third proportional to 357,396.75 and 785,871 is: 1,728,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,396.75 : 785,871 = 785,871 : x
  2. Step 2: Convert to fraction form
    357,396.75/785,871 = 785,871/x
  3. Step 3: Cross multiply
    357,396.75x = 785,871 × 785,871
  4. Step 4: Simplify right side
    357,396.75x = 617,593,228,641
  5. Step 5: Solve for x
    x = 617,593,228,641/357,396.75
  6. Step 6: Final answer
    x = 1,728,032.58

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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.