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Finding the Third Proportional to 348,572 and 761,107

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Solution

The third proportional to 348,572 and 761,107 is: 1,661,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,572 : 761,107 = 761,107 : x
  2. Step 2: Convert to fraction form
    348,572/761,107 = 761,107/x
  3. Step 3: Cross multiply
    348,572x = 761,107 × 761,107
  4. Step 4: Simplify right side
    348,572x = 579,283,865,449
  5. Step 5: Solve for x
    x = 579,283,865,449/348,572
  6. Step 6: Final answer
    x = 1,661,877.22

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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.