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Finding the Third Proportional to 350,710 and 767,044

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Solution

The third proportional to 350,710 and 767,044 is: 1,677,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,710 : 767,044 = 767,044 : x
  2. Step 2: Convert to fraction form
    350,710/767,044 = 767,044/x
  3. Step 3: Cross multiply
    350,710x = 767,044 × 767,044
  4. Step 4: Simplify right side
    350,710x = 588,356,497,936
  5. Step 5: Solve for x
    x = 588,356,497,936/350,710
  6. Step 6: Final answer
    x = 1,677,615.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.