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Finding the Third Proportional to 347,571 and 761,566.50

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Solution

The third proportional to 347,571 and 761,566.50 is: 1,668,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,571 : 761,566.50 = 761,566.50 : x
  2. Step 2: Convert to fraction form
    347,571/761,566.50 = 761,566.50/x
  3. Step 3: Cross multiply
    347,571x = 761,566.50 × 761,566.50
  4. Step 4: Simplify right side
    347,571x = 579,983,533,922.25
  5. Step 5: Solve for x
    x = 579,983,533,922.25/347,571
  6. Step 6: Final answer
    x = 1,668,676.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.