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Finding the Third Proportional to 427,894 and 598,191.88

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Solution

The third proportional to 427,894 and 598,191.88 is: 836,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,894 : 598,191.88 = 598,191.88 : x
  2. Step 2: Convert to fraction form
    427,894/598,191.88 = 598,191.88/x
  3. Step 3: Cross multiply
    427,894x = 598,191.88 × 598,191.88
  4. Step 4: Simplify right side
    427,894x = 357,833,519,316.02
  5. Step 5: Solve for x
    x = 357,833,519,316.02/427,894
  6. Step 6: Final answer
    x = 836,266.74

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Why These Related Problems?

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