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Finding the Third Proportional to 604,101.75 and 846,644.25

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Solution

The third proportional to 604,101.75 and 846,644.25 is: 1,186,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,101.75 : 846,644.25 = 846,644.25 : x
  2. Step 2: Convert to fraction form
    604,101.75/846,644.25 = 846,644.25/x
  3. Step 3: Cross multiply
    604,101.75x = 846,644.25 × 846,644.25
  4. Step 4: Simplify right side
    604,101.75x = 716,806,486,058.06
  5. Step 5: Solve for x
    x = 716,806,486,058.06/604,101.75
  6. Step 6: Final answer
    x = 1,186,565.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.