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Finding the Third Proportional to 348,044 and 741,610

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Solution

The third proportional to 348,044 and 741,610 is: 1,580,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,044 : 741,610 = 741,610 : x
  2. Step 2: Convert to fraction form
    348,044/741,610 = 741,610/x
  3. Step 3: Cross multiply
    348,044x = 741,610 × 741,610
  4. Step 4: Simplify right side
    348,044x = 549,985,392,100
  5. Step 5: Solve for x
    x = 549,985,392,100/348,044
  6. Step 6: Final answer
    x = 1,580,218.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.