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Finding the Third Proportional to 283,286 and 608,674

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Solution

The third proportional to 283,286 and 608,674 is: 1,307,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,286 : 608,674 = 608,674 : x
  2. Step 2: Convert to fraction form
    283,286/608,674 = 608,674/x
  3. Step 3: Cross multiply
    283,286x = 608,674 × 608,674
  4. Step 4: Simplify right side
    283,286x = 370,484,038,276
  5. Step 5: Solve for x
    x = 370,484,038,276/283,286
  6. Step 6: Final answer
    x = 1,307,809.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.