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Finding the Third Proportional to 348,570 and 761,103

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Solution

The third proportional to 348,570 and 761,103 is: 1,661,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,570 : 761,103 = 761,103 : x
  2. Step 2: Convert to fraction form
    348,570/761,103 = 761,103/x
  3. Step 3: Cross multiply
    348,570x = 761,103 × 761,103
  4. Step 4: Simplify right side
    348,570x = 579,277,776,609
  5. Step 5: Solve for x
    x = 579,277,776,609/348,570
  6. Step 6: Final answer
    x = 1,661,869.28

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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.