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Finding the Third Proportional to 292,810 and 611,036

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Solution

The third proportional to 292,810 and 611,036 is: 1,275,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,810 : 611,036 = 611,036 : x
  2. Step 2: Convert to fraction form
    292,810/611,036 = 611,036/x
  3. Step 3: Cross multiply
    292,810x = 611,036 × 611,036
  4. Step 4: Simplify right side
    292,810x = 373,364,993,296
  5. Step 5: Solve for x
    x = 373,364,993,296/292,810
  6. Step 6: Final answer
    x = 1,275,110.12

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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.