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Finding the Third Proportional to 351,026 and 758,089

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Solution

The third proportional to 351,026 and 758,089 is: 1,637,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,026 : 758,089 = 758,089 : x
  2. Step 2: Convert to fraction form
    351,026/758,089 = 758,089/x
  3. Step 3: Cross multiply
    351,026x = 758,089 × 758,089
  4. Step 4: Simplify right side
    351,026x = 574,698,931,921
  5. Step 5: Solve for x
    x = 574,698,931,921/351,026
  6. Step 6: Final answer
    x = 1,637,197.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.