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Finding the Third Proportional to 240,546 and 380,871

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Solution

The third proportional to 240,546 and 380,871 is: 603,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,546 : 380,871 = 380,871 : x
  2. Step 2: Convert to fraction form
    240,546/380,871 = 380,871/x
  3. Step 3: Cross multiply
    240,546x = 380,871 × 380,871
  4. Step 4: Simplify right side
    240,546x = 145,062,718,641
  5. Step 5: Solve for x
    x = 145,062,718,641/240,546
  6. Step 6: Final answer
    x = 603,056.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.