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Finding the Third Proportional to 348,044 and 760,006

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Solution

The third proportional to 348,044 and 760,006 is: 1,659,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,044 : 760,006 = 760,006 : x
  2. Step 2: Convert to fraction form
    348,044/760,006 = 760,006/x
  3. Step 3: Cross multiply
    348,044x = 760,006 × 760,006
  4. Step 4: Simplify right side
    348,044x = 577,609,120,036
  5. Step 5: Solve for x
    x = 577,609,120,036/348,044
  6. Step 6: Final answer
    x = 1,659,586.49

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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.