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Finding the Third Proportional to 483,787 and 725,862

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Solution

The third proportional to 483,787 and 725,862 is: 1,089,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,787 : 725,862 = 725,862 : x
  2. Step 2: Convert to fraction form
    483,787/725,862 = 725,862/x
  3. Step 3: Cross multiply
    483,787x = 725,862 × 725,862
  4. Step 4: Simplify right side
    483,787x = 526,875,643,044
  5. Step 5: Solve for x
    x = 526,875,643,044/483,787
  6. Step 6: Final answer
    x = 1,089,065.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.