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Finding the Third Proportional to 590.10 and 1,294.10

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Solution

The third proportional to 590.10 and 1,294.10 is: 2,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.10 : 1,294.10 = 1,294.10 : x
  2. Step 2: Convert to fraction form
    590.10/1,294.10 = 1,294.10/x
  3. Step 3: Cross multiply
    590.10x = 1,294.10 × 1,294.10
  4. Step 4: Simplify right side
    590.10x = 1,674,698.85
  5. Step 5: Solve for x
    x = 1,674,698.85/590.10
  6. Step 6: Final answer
    x = 2,838.00

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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.