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Finding the Third Proportional to 632,907 and 845,457.75

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Solution

The third proportional to 632,907 and 845,457.75 is: 1,129,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,907 : 845,457.75 = 845,457.75 : x
  2. Step 2: Convert to fraction form
    632,907/845,457.75 = 845,457.75/x
  3. Step 3: Cross multiply
    632,907x = 845,457.75 × 845,457.75
  4. Step 4: Simplify right side
    632,907x = 714,798,807,035.06
  5. Step 5: Solve for x
    x = 714,798,807,035.06/632,907
  6. Step 6: Final answer
    x = 1,129,389.95

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