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Finding the Third Proportional to 598,729.50 and 895,729.50

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Solution

The third proportional to 598,729.50 and 895,729.50 is: 1,340,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,729.50 : 895,729.50 = 895,729.50 : x
  2. Step 2: Convert to fraction form
    598,729.50/895,729.50 = 895,729.50/x
  3. Step 3: Cross multiply
    598,729.50x = 895,729.50 × 895,729.50
  4. Step 4: Simplify right side
    598,729.50x = 802,331,337,170.25
  5. Step 5: Solve for x
    x = 802,331,337,170.25/598,729.50
  6. Step 6: Final answer
    x = 1,340,056.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.