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Finding the Third Proportional to 484,912 and 652,280

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Solution

The third proportional to 484,912 and 652,280 is: 877,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,912 : 652,280 = 652,280 : x
  2. Step 2: Convert to fraction form
    484,912/652,280 = 652,280/x
  3. Step 3: Cross multiply
    484,912x = 652,280 × 652,280
  4. Step 4: Simplify right side
    484,912x = 425,469,198,400
  5. Step 5: Solve for x
    x = 425,469,198,400/484,912
  6. Step 6: Final answer
    x = 877,415.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.