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Finding the Third Proportional to 224,681 and 488,728

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Solution

The third proportional to 224,681 and 488,728 is: 1,063,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,681 : 488,728 = 488,728 : x
  2. Step 2: Convert to fraction form
    224,681/488,728 = 488,728/x
  3. Step 3: Cross multiply
    224,681x = 488,728 × 488,728
  4. Step 4: Simplify right side
    224,681x = 238,855,057,984
  5. Step 5: Solve for x
    x = 238,855,057,984/224,681
  6. Step 6: Final answer
    x = 1,063,085.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.