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Finding the Third Proportional to 462,610 and 725,863

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Solution

The third proportional to 462,610 and 725,863 is: 1,138,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,610 : 725,863 = 725,863 : x
  2. Step 2: Convert to fraction form
    462,610/725,863 = 725,863/x
  3. Step 3: Cross multiply
    462,610x = 725,863 × 725,863
  4. Step 4: Simplify right side
    462,610x = 526,877,094,769
  5. Step 5: Solve for x
    x = 526,877,094,769/462,610
  6. Step 6: Final answer
    x = 1,138,922.84

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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.