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Finding the Third Proportional to 233,793 and 507,438

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Solution

The third proportional to 233,793 and 507,438 is: 1,101,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,793 : 507,438 = 507,438 : x
  2. Step 2: Convert to fraction form
    233,793/507,438 = 507,438/x
  3. Step 3: Cross multiply
    233,793x = 507,438 × 507,438
  4. Step 4: Simplify right side
    233,793x = 257,493,323,844
  5. Step 5: Solve for x
    x = 257,493,323,844/233,793
  6. Step 6: Final answer
    x = 1,101,373.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.