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Finding the Third Proportional to 325,038 and 519,045

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Solution

The third proportional to 325,038 and 519,045 is: 828,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,038 : 519,045 = 519,045 : x
  2. Step 2: Convert to fraction form
    325,038/519,045 = 519,045/x
  3. Step 3: Cross multiply
    325,038x = 519,045 × 519,045
  4. Step 4: Simplify right side
    325,038x = 269,407,712,025
  5. Step 5: Solve for x
    x = 269,407,712,025/325,038
  6. Step 6: Final answer
    x = 828,849.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.