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Finding the Third Proportional to 292,226 and 631,012

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Solution

The third proportional to 292,226 and 631,012 is: 1,362,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,226 : 631,012 = 631,012 : x
  2. Step 2: Convert to fraction form
    292,226/631,012 = 631,012/x
  3. Step 3: Cross multiply
    292,226x = 631,012 × 631,012
  4. Step 4: Simplify right side
    292,226x = 398,176,144,144
  5. Step 5: Solve for x
    x = 398,176,144,144/292,226
  6. Step 6: Final answer
    x = 1,362,562.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.