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Finding the Third Proportional to 423,748.13 and 628,291.69

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Solution

The third proportional to 423,748.13 and 628,291.69 is: 931,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,748.13 : 628,291.69 = 628,291.69 : x
  2. Step 2: Convert to fraction form
    423,748.13/628,291.69 = 628,291.69/x
  3. Step 3: Cross multiply
    423,748.13x = 628,291.69 × 628,291.69
  4. Step 4: Simplify right side
    423,748.13x = 394,750,444,581.60
  5. Step 5: Solve for x
    x = 394,750,444,581.60/423,748.13
  6. Step 6: Final answer
    x = 931,568.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.