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Finding the Third Proportional to 292,817 and 611,050

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Solution

The third proportional to 292,817 and 611,050 is: 1,275,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,817 : 611,050 = 611,050 : x
  2. Step 2: Convert to fraction form
    292,817/611,050 = 611,050/x
  3. Step 3: Cross multiply
    292,817x = 611,050 × 611,050
  4. Step 4: Simplify right side
    292,817x = 373,382,102,500
  5. Step 5: Solve for x
    x = 373,382,102,500/292,817
  6. Step 6: Final answer
    x = 1,275,138.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.