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Finding the Third Proportional to 368,392 and 660,968

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Solution

The third proportional to 368,392 and 660,968 is: 1,185,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,392 : 660,968 = 660,968 : x
  2. Step 2: Convert to fraction form
    368,392/660,968 = 660,968/x
  3. Step 3: Cross multiply
    368,392x = 660,968 × 660,968
  4. Step 4: Simplify right side
    368,392x = 436,878,697,024
  5. Step 5: Solve for x
    x = 436,878,697,024/368,392
  6. Step 6: Final answer
    x = 1,185,907.12

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.