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Finding the Third Proportional to 322,490 and 508,468

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Solution

The third proportional to 322,490 and 508,468 is: 801,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,490 : 508,468 = 508,468 : x
  2. Step 2: Convert to fraction form
    322,490/508,468 = 508,468/x
  3. Step 3: Cross multiply
    322,490x = 508,468 × 508,468
  4. Step 4: Simplify right side
    322,490x = 258,539,707,024
  5. Step 5: Solve for x
    x = 258,539,707,024/322,490
  6. Step 6: Final answer
    x = 801,698.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.