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Finding the Third Proportional to 592.90 and 952.63

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Solution

The third proportional to 592.90 and 952.63 is: 1,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.90 : 952.63 = 952.63 : x
  2. Step 2: Convert to fraction form
    592.90/952.63 = 952.63/x
  3. Step 3: Cross multiply
    592.90x = 952.63 × 952.63
  4. Step 4: Simplify right side
    592.90x = 907,501.83
  5. Step 5: Solve for x
    x = 907,501.83/592.90
  6. Step 6: Final answer
    x = 1,530.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.