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Finding the Third Proportional to 632,130 and 960,483

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Solution

The third proportional to 632,130 and 960,483 is: 1,459,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,130 : 960,483 = 960,483 : x
  2. Step 2: Convert to fraction form
    632,130/960,483 = 960,483/x
  3. Step 3: Cross multiply
    632,130x = 960,483 × 960,483
  4. Step 4: Simplify right side
    632,130x = 922,527,593,289
  5. Step 5: Solve for x
    x = 922,527,593,289/632,130
  6. Step 6: Final answer
    x = 1,459,395.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.