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Finding the Third Proportional to 471,716 and 725,926

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Solution

The third proportional to 471,716 and 725,926 is: 1,117,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,716 : 725,926 = 725,926 : x
  2. Step 2: Convert to fraction form
    471,716/725,926 = 725,926/x
  3. Step 3: Cross multiply
    471,716x = 725,926 × 725,926
  4. Step 4: Simplify right side
    471,716x = 526,968,557,476
  5. Step 5: Solve for x
    x = 526,968,557,476/471,716
  6. Step 6: Final answer
    x = 1,117,130.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.