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Finding the Third Proportional to 632,905 and 845,454

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Solution

The third proportional to 632,905 and 845,454 is: 1,129,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,905 : 845,454 = 845,454 : x
  2. Step 2: Convert to fraction form
    632,905/845,454 = 845,454/x
  3. Step 3: Cross multiply
    632,905x = 845,454 × 845,454
  4. Step 4: Simplify right side
    632,905x = 714,792,466,116
  5. Step 5: Solve for x
    x = 714,792,466,116/632,905
  6. Step 6: Final answer
    x = 1,129,383.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.