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Finding the Third Proportional to 350,784 and 760,704

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Solution

The third proportional to 350,784 and 760,704 is: 1,649,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,784 : 760,704 = 760,704 : x
  2. Step 2: Convert to fraction form
    350,784/760,704 = 760,704/x
  3. Step 3: Cross multiply
    350,784x = 760,704 × 760,704
  4. Step 4: Simplify right side
    350,784x = 578,670,575,616
  5. Step 5: Solve for x
    x = 578,670,575,616/350,784
  6. Step 6: Final answer
    x = 1,649,649.29

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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.