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Finding the Third Proportional to 598,914 and 928,885.50

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Solution

The third proportional to 598,914 and 928,885.50 is: 1,440,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,914 : 928,885.50 = 928,885.50 : x
  2. Step 2: Convert to fraction form
    598,914/928,885.50 = 928,885.50/x
  3. Step 3: Cross multiply
    598,914x = 928,885.50 × 928,885.50
  4. Step 4: Simplify right side
    598,914x = 862,828,272,110.25
  5. Step 5: Solve for x
    x = 862,828,272,110.25/598,914
  6. Step 6: Final answer
    x = 1,440,654.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.