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Finding the Third Proportional to 228,152 and 508,712

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Solution

The third proportional to 228,152 and 508,712 is: 1,134,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,152 : 508,712 = 508,712 : x
  2. Step 2: Convert to fraction form
    228,152/508,712 = 508,712/x
  3. Step 3: Cross multiply
    228,152x = 508,712 × 508,712
  4. Step 4: Simplify right side
    228,152x = 258,787,898,944
  5. Step 5: Solve for x
    x = 258,787,898,944/228,152
  6. Step 6: Final answer
    x = 1,134,278.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.