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Finding the Third Proportional to 328,671 and 507,519

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Solution

The third proportional to 328,671 and 507,519 is: 783,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,671 : 507,519 = 507,519 : x
  2. Step 2: Convert to fraction form
    328,671/507,519 = 507,519/x
  3. Step 3: Cross multiply
    328,671x = 507,519 × 507,519
  4. Step 4: Simplify right side
    328,671x = 257,575,535,361
  5. Step 5: Solve for x
    x = 257,575,535,361/328,671
  6. Step 6: Final answer
    x = 783,688.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.