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Finding the Third Proportional to 281,278.50 and 606,537

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Solution

The third proportional to 281,278.50 and 606,537 is: 1,307,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,278.50 : 606,537 = 606,537 : x
  2. Step 2: Convert to fraction form
    281,278.50/606,537 = 606,537/x
  3. Step 3: Cross multiply
    281,278.50x = 606,537 × 606,537
  4. Step 4: Simplify right side
    281,278.50x = 367,887,132,369
  5. Step 5: Solve for x
    x = 367,887,132,369/281,278.50
  6. Step 6: Final answer
    x = 1,307,910.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.