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Finding the Third Proportional to 327,316 and 507,998

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Solution

The third proportional to 327,316 and 507,998 is: 788,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,316 : 507,998 = 507,998 : x
  2. Step 2: Convert to fraction form
    327,316/507,998 = 507,998/x
  3. Step 3: Cross multiply
    327,316x = 507,998 × 507,998
  4. Step 4: Simplify right side
    327,316x = 258,061,968,004
  5. Step 5: Solve for x
    x = 258,061,968,004/327,316
  6. Step 6: Final answer
    x = 788,418.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.