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Finding the Third Proportional to 462,602 and 725,852

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Solution

The third proportional to 462,602 and 725,852 is: 1,138,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,602 : 725,852 = 725,852 : x
  2. Step 2: Convert to fraction form
    462,602/725,852 = 725,852/x
  3. Step 3: Cross multiply
    462,602x = 725,852 × 725,852
  4. Step 4: Simplify right side
    462,602x = 526,861,125,904
  5. Step 5: Solve for x
    x = 526,861,125,904/462,602
  6. Step 6: Final answer
    x = 1,138,908.02

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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.