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Finding the Third Proportional to 454,968 and 713,646

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Solution

The third proportional to 454,968 and 713,646 is: 1,119,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,968 : 713,646 = 713,646 : x
  2. Step 2: Convert to fraction form
    454,968/713,646 = 713,646/x
  3. Step 3: Cross multiply
    454,968x = 713,646 × 713,646
  4. Step 4: Simplify right side
    454,968x = 509,290,613,316
  5. Step 5: Solve for x
    x = 509,290,613,316/454,968
  6. Step 6: Final answer
    x = 1,119,398.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.