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Finding the Third Proportional to 635,754 and 953,632

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Solution

The third proportional to 635,754 and 953,632 is: 1,430,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,754 : 953,632 = 953,632 : x
  2. Step 2: Convert to fraction form
    635,754/953,632 = 953,632/x
  3. Step 3: Cross multiply
    635,754x = 953,632 × 953,632
  4. Step 4: Simplify right side
    635,754x = 909,413,991,424
  5. Step 5: Solve for x
    x = 909,413,991,424/635,754
  6. Step 6: Final answer
    x = 1,430,449.50

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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.