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Finding the Third Proportional to 632,128 and 960,480

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Solution

The third proportional to 632,128 and 960,480 is: 1,459,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,128 : 960,480 = 960,480 : x
  2. Step 2: Convert to fraction form
    632,128/960,480 = 960,480/x
  3. Step 3: Cross multiply
    632,128x = 960,480 × 960,480
  4. Step 4: Simplify right side
    632,128x = 922,521,830,400
  5. Step 5: Solve for x
    x = 922,521,830,400/632,128
  6. Step 6: Final answer
    x = 1,459,390.87

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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.