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Finding the Third Proportional to 348,946 and 755,858

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Solution

The third proportional to 348,946 and 755,858 is: 1,637,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,946 : 755,858 = 755,858 : x
  2. Step 2: Convert to fraction form
    348,946/755,858 = 755,858/x
  3. Step 3: Cross multiply
    348,946x = 755,858 × 755,858
  4. Step 4: Simplify right side
    348,946x = 571,321,316,164
  5. Step 5: Solve for x
    x = 571,321,316,164/348,946
  6. Step 6: Final answer
    x = 1,637,277.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.