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Finding the Third Proportional to 347,146.88 and 460,624.50

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Solution

The third proportional to 347,146.88 and 460,624.50 is: 611,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,146.88 : 460,624.50 = 460,624.50 : x
  2. Step 2: Convert to fraction form
    347,146.88/460,624.50 = 460,624.50/x
  3. Step 3: Cross multiply
    347,146.88x = 460,624.50 × 460,624.50
  4. Step 4: Simplify right side
    347,146.88x = 212,174,930,000.25
  5. Step 5: Solve for x
    x = 212,174,930,000.25/347,146.88
  6. Step 6: Final answer
    x = 611,196.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.