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Finding the Third Proportional to 592.63 and 1,299.16

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Solution

The third proportional to 592.63 and 1,299.16 is: 2,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.63 : 1,299.16 = 1,299.16 : x
  2. Step 2: Convert to fraction form
    592.63/1,299.16 = 1,299.16/x
  3. Step 3: Cross multiply
    592.63x = 1,299.16 × 1,299.16
  4. Step 4: Simplify right side
    592.63x = 1,687,827.26
  5. Step 5: Solve for x
    x = 1,687,827.26/592.63
  6. Step 6: Final answer
    x = 2,848.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.