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Finding the Third Proportional to 403,482 and 606,965

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Solution

The third proportional to 403,482 and 606,965 is: 913,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,482 : 606,965 = 606,965 : x
  2. Step 2: Convert to fraction form
    403,482/606,965 = 606,965/x
  3. Step 3: Cross multiply
    403,482x = 606,965 × 606,965
  4. Step 4: Simplify right side
    403,482x = 368,406,511,225
  5. Step 5: Solve for x
    x = 368,406,511,225/403,482
  6. Step 6: Final answer
    x = 913,068.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.