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Finding the Third Proportional to 348,566.63 and 761,104.13

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Solution

The third proportional to 348,566.63 and 761,104.13 is: 1,661,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,566.63 : 761,104.13 = 761,104.13 : x
  2. Step 2: Convert to fraction form
    348,566.63/761,104.13 = 761,104.13/x
  3. Step 3: Cross multiply
    348,566.63x = 761,104.13 × 761,104.13
  4. Step 4: Simplify right side
    348,566.63x = 579,279,489,092.02
  5. Step 5: Solve for x
    x = 579,279,489,092.02/348,566.63
  6. Step 6: Final answer
    x = 1,661,890.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.