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Finding the Third Proportional to 350,741 and 760,502

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Solution

The third proportional to 350,741 and 760,502 is: 1,648,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,741 : 760,502 = 760,502 : x
  2. Step 2: Convert to fraction form
    350,741/760,502 = 760,502/x
  3. Step 3: Cross multiply
    350,741x = 760,502 × 760,502
  4. Step 4: Simplify right side
    350,741x = 578,363,292,004
  5. Step 5: Solve for x
    x = 578,363,292,004/350,741
  6. Step 6: Final answer
    x = 1,648,975.43

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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.