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Finding the Third Proportional to 350,520 and 760,089

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Solution

The third proportional to 350,520 and 760,089 is: 1,648,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,520 : 760,089 = 760,089 : x
  2. Step 2: Convert to fraction form
    350,520/760,089 = 760,089/x
  3. Step 3: Cross multiply
    350,520x = 760,089 × 760,089
  4. Step 4: Simplify right side
    350,520x = 577,735,287,921
  5. Step 5: Solve for x
    x = 577,735,287,921/350,520
  6. Step 6: Final answer
    x = 1,648,223.46

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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.