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Finding the Third Proportional to 228,248 and 492,586

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Solution

The third proportional to 228,248 and 492,586 is: 1,063,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,248 : 492,586 = 492,586 : x
  2. Step 2: Convert to fraction form
    228,248/492,586 = 492,586/x
  3. Step 3: Cross multiply
    228,248x = 492,586 × 492,586
  4. Step 4: Simplify right side
    228,248x = 242,640,967,396
  5. Step 5: Solve for x
    x = 242,640,967,396/228,248
  6. Step 6: Final answer
    x = 1,063,058.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.