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Finding the Third Proportional to 471,424 and 713,984

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Solution

The third proportional to 471,424 and 713,984 is: 1,081,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,424 : 713,984 = 713,984 : x
  2. Step 2: Convert to fraction form
    471,424/713,984 = 713,984/x
  3. Step 3: Cross multiply
    471,424x = 713,984 × 713,984
  4. Step 4: Simplify right side
    471,424x = 509,773,152,256
  5. Step 5: Solve for x
    x = 509,773,152,256/471,424
  6. Step 6: Final answer
    x = 1,081,347.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.