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Finding the Third Proportional to 224,510 and 355,436

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Solution

The third proportional to 224,510 and 355,436 is: 562,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,510 : 355,436 = 355,436 : x
  2. Step 2: Convert to fraction form
    224,510/355,436 = 355,436/x
  3. Step 3: Cross multiply
    224,510x = 355,436 × 355,436
  4. Step 4: Simplify right side
    224,510x = 126,334,750,096
  5. Step 5: Solve for x
    x = 126,334,750,096/224,510
  6. Step 6: Final answer
    x = 562,713.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.