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Finding the Third Proportional to 329,264 and 507,578

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Solution

The third proportional to 329,264 and 507,578 is: 782,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,264 : 507,578 = 507,578 : x
  2. Step 2: Convert to fraction form
    329,264/507,578 = 507,578/x
  3. Step 3: Cross multiply
    329,264x = 507,578 × 507,578
  4. Step 4: Simplify right side
    329,264x = 257,635,426,084
  5. Step 5: Solve for x
    x = 257,635,426,084/329,264
  6. Step 6: Final answer
    x = 782,458.53

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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.