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Finding the Third Proportional to 322,534 and 508,537

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Solution

The third proportional to 322,534 and 508,537 is: 801,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,534 : 508,537 = 508,537 : x
  2. Step 2: Convert to fraction form
    322,534/508,537 = 508,537/x
  3. Step 3: Cross multiply
    322,534x = 508,537 × 508,537
  4. Step 4: Simplify right side
    322,534x = 258,609,880,369
  5. Step 5: Solve for x
    x = 258,609,880,369/322,534
  6. Step 6: Final answer
    x = 801,806.57

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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.