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Finding the Third Proportional to 508,224 and 748,258

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Solution

The third proportional to 508,224 and 748,258 is: 1,101,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,224 : 748,258 = 748,258 : x
  2. Step 2: Convert to fraction form
    508,224/748,258 = 748,258/x
  3. Step 3: Cross multiply
    508,224x = 748,258 × 748,258
  4. Step 4: Simplify right side
    508,224x = 559,890,034,564
  5. Step 5: Solve for x
    x = 559,890,034,564/508,224
  6. Step 6: Final answer
    x = 1,101,659.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.