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Finding the Third Proportional to 354,537 and 758,910

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Solution

The third proportional to 354,537 and 758,910 is: 1,624,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,537 : 758,910 = 758,910 : x
  2. Step 2: Convert to fraction form
    354,537/758,910 = 758,910/x
  3. Step 3: Cross multiply
    354,537x = 758,910 × 758,910
  4. Step 4: Simplify right side
    354,537x = 575,944,388,100
  5. Step 5: Solve for x
    x = 575,944,388,100/354,537
  6. Step 6: Final answer
    x = 1,624,497.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.