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Finding the Third Proportional to 450,980 and 713,577

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Solution

The third proportional to 450,980 and 713,577 is: 1,129,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,980 : 713,577 = 713,577 : x
  2. Step 2: Convert to fraction form
    450,980/713,577 = 713,577/x
  3. Step 3: Cross multiply
    450,980x = 713,577 × 713,577
  4. Step 4: Simplify right side
    450,980x = 509,192,134,929
  5. Step 5: Solve for x
    x = 509,192,134,929/450,980
  6. Step 6: Final answer
    x = 1,129,079.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.