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Finding the Third Proportional to 296,943 and 692,991

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Solution

The third proportional to 296,943 and 692,991 is: 1,617,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,943 : 692,991 = 692,991 : x
  2. Step 2: Convert to fraction form
    296,943/692,991 = 692,991/x
  3. Step 3: Cross multiply
    296,943x = 692,991 × 692,991
  4. Step 4: Simplify right side
    296,943x = 480,236,526,081
  5. Step 5: Solve for x
    x = 480,236,526,081/296,943
  6. Step 6: Final answer
    x = 1,617,268.39

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.