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Finding the Third Proportional to 228,642 and 500,871

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Solution

The third proportional to 228,642 and 500,871 is: 1,097,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,642 : 500,871 = 500,871 : x
  2. Step 2: Convert to fraction form
    228,642/500,871 = 500,871/x
  3. Step 3: Cross multiply
    228,642x = 500,871 × 500,871
  4. Step 4: Simplify right side
    228,642x = 250,871,758,641
  5. Step 5: Solve for x
    x = 250,871,758,641/228,642
  6. Step 6: Final answer
    x = 1,097,225.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.