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Finding the Third Proportional to 635,064 and 902,700

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Solution

The third proportional to 635,064 and 902,700 is: 1,283,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,064 : 902,700 = 902,700 : x
  2. Step 2: Convert to fraction form
    635,064/902,700 = 902,700/x
  3. Step 3: Cross multiply
    635,064x = 902,700 × 902,700
  4. Step 4: Simplify right side
    635,064x = 814,867,290,000
  5. Step 5: Solve for x
    x = 814,867,290,000/635,064
  6. Step 6: Final answer
    x = 1,283,126.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.