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Finding the Third Proportional to 454,656 and 713,250

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Solution

The third proportional to 454,656 and 713,250 is: 1,118,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,656 : 713,250 = 713,250 : x
  2. Step 2: Convert to fraction form
    454,656/713,250 = 713,250/x
  3. Step 3: Cross multiply
    454,656x = 713,250 × 713,250
  4. Step 4: Simplify right side
    454,656x = 508,725,562,500
  5. Step 5: Solve for x
    x = 508,725,562,500/454,656
  6. Step 6: Final answer
    x = 1,118,924.12

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Why These Related Problems?

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