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Finding the Third Proportional to 423,764 and 628,315

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Solution

The third proportional to 423,764 and 628,315 is: 931,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,764 : 628,315 = 628,315 : x
  2. Step 2: Convert to fraction form
    423,764/628,315 = 628,315/x
  3. Step 3: Cross multiply
    423,764x = 628,315 × 628,315
  4. Step 4: Simplify right side
    423,764x = 394,779,739,225
  5. Step 5: Solve for x
    x = 394,779,739,225/423,764
  6. Step 6: Final answer
    x = 931,602.82

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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.