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Finding the Third Proportional to 458,104 and 713,332

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Solution

The third proportional to 458,104 and 713,332 is: 1,110,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,104 : 713,332 = 713,332 : x
  2. Step 2: Convert to fraction form
    458,104/713,332 = 713,332/x
  3. Step 3: Cross multiply
    458,104x = 713,332 × 713,332
  4. Step 4: Simplify right side
    458,104x = 508,842,542,224
  5. Step 5: Solve for x
    x = 508,842,542,224/458,104
  6. Step 6: Final answer
    x = 1,110,757.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.