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Finding the Third Proportional to 350,740 and 760,500

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Solution

The third proportional to 350,740 and 760,500 is: 1,648,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,740 : 760,500 = 760,500 : x
  2. Step 2: Convert to fraction form
    350,740/760,500 = 760,500/x
  3. Step 3: Cross multiply
    350,740x = 760,500 × 760,500
  4. Step 4: Simplify right side
    350,740x = 578,360,250,000
  5. Step 5: Solve for x
    x = 578,360,250,000/350,740
  6. Step 6: Final answer
    x = 1,648,971.46

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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.