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Finding the Third Proportional to 228,220 and 486,971

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Solution

The third proportional to 228,220 and 486,971 is: 1,039,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,220 : 486,971 = 486,971 : x
  2. Step 2: Convert to fraction form
    228,220/486,971 = 486,971/x
  3. Step 3: Cross multiply
    228,220x = 486,971 × 486,971
  4. Step 4: Simplify right side
    228,220x = 237,140,754,841
  5. Step 5: Solve for x
    x = 237,140,754,841/228,220
  6. Step 6: Final answer
    x = 1,039,088.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.