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Finding the Third Proportional to 283,080 and 608,088

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Solution

The third proportional to 283,080 and 608,088 is: 1,306,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,080 : 608,088 = 608,088 : x
  2. Step 2: Convert to fraction form
    283,080/608,088 = 608,088/x
  3. Step 3: Cross multiply
    283,080x = 608,088 × 608,088
  4. Step 4: Simplify right side
    283,080x = 369,771,015,744
  5. Step 5: Solve for x
    x = 369,771,015,744/283,080
  6. Step 6: Final answer
    x = 1,306,242.11

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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.