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Finding the Third Proportional to 423,894 and 594,079.50

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Solution

The third proportional to 423,894 and 594,079.50 is: 832,591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,894 : 594,079.50 = 594,079.50 : x
  2. Step 2: Convert to fraction form
    423,894/594,079.50 = 594,079.50/x
  3. Step 3: Cross multiply
    423,894x = 594,079.50 × 594,079.50
  4. Step 4: Simplify right side
    423,894x = 352,930,452,320.25
  5. Step 5: Solve for x
    x = 352,930,452,320.25/423,894
  6. Step 6: Final answer
    x = 832,591.29

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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.