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Finding the Third Proportional to 406,366 and 597,765

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Solution

The third proportional to 406,366 and 597,765 is: 879,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,366 : 597,765 = 597,765 : x
  2. Step 2: Convert to fraction form
    406,366/597,765 = 597,765/x
  3. Step 3: Cross multiply
    406,366x = 597,765 × 597,765
  4. Step 4: Simplify right side
    406,366x = 357,322,995,225
  5. Step 5: Solve for x
    x = 357,322,995,225/406,366
  6. Step 6: Final answer
    x = 879,313.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.