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Finding the Third Proportional to 543,510 and 799,281

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Solution

The third proportional to 543,510 and 799,281 is: 1,175,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,510 : 799,281 = 799,281 : x
  2. Step 2: Convert to fraction form
    543,510/799,281 = 799,281/x
  3. Step 3: Cross multiply
    543,510x = 799,281 × 799,281
  4. Step 4: Simplify right side
    543,510x = 638,850,116,961
  5. Step 5: Solve for x
    x = 638,850,116,961/543,510
  6. Step 6: Final answer
    x = 1,175,415.57

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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.