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Finding the Third Proportional to 322,532 and 508,534

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Solution

The third proportional to 322,532 and 508,534 is: 801,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,532 : 508,534 = 508,534 : x
  2. Step 2: Convert to fraction form
    322,532/508,534 = 508,534/x
  3. Step 3: Cross multiply
    322,532x = 508,534 × 508,534
  4. Step 4: Simplify right side
    322,532x = 258,606,829,156
  5. Step 5: Solve for x
    x = 258,606,829,156/322,532
  6. Step 6: Final answer
    x = 801,802.08

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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.