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Finding the Third Proportional to 635,799 and 953,709

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Solution

The third proportional to 635,799 and 953,709 is: 1,430,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,799 : 953,709 = 953,709 : x
  2. Step 2: Convert to fraction form
    635,799/953,709 = 953,709/x
  3. Step 3: Cross multiply
    635,799x = 953,709 × 953,709
  4. Step 4: Simplify right side
    635,799x = 909,560,856,681
  5. Step 5: Solve for x
    x = 909,560,856,681/635,799
  6. Step 6: Final answer
    x = 1,430,579.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.