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Finding the Third Proportional to 224,370 and 493,209

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Solution

The third proportional to 224,370 and 493,209 is: 1,084,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,370 : 493,209 = 493,209 : x
  2. Step 2: Convert to fraction form
    224,370/493,209 = 493,209/x
  3. Step 3: Cross multiply
    224,370x = 493,209 × 493,209
  4. Step 4: Simplify right side
    224,370x = 243,255,117,681
  5. Step 5: Solve for x
    x = 243,255,117,681/224,370
  6. Step 6: Final answer
    x = 1,084,169.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.