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Finding the Third Proportional to 344,810 and 758,740

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Solution

The third proportional to 344,810 and 758,740 is: 1,669,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,810 : 758,740 = 758,740 : x
  2. Step 2: Convert to fraction form
    344,810/758,740 = 758,740/x
  3. Step 3: Cross multiply
    344,810x = 758,740 × 758,740
  4. Step 4: Simplify right side
    344,810x = 575,686,387,600
  5. Step 5: Solve for x
    x = 575,686,387,600/344,810
  6. Step 6: Final answer
    x = 1,669,575.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.