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Finding the Third Proportional to 475,924 and 736,926

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Solution

The third proportional to 475,924 and 736,926 is: 1,141,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,924 : 736,926 = 736,926 : x
  2. Step 2: Convert to fraction form
    475,924/736,926 = 736,926/x
  3. Step 3: Cross multiply
    475,924x = 736,926 × 736,926
  4. Step 4: Simplify right side
    475,924x = 543,059,929,476
  5. Step 5: Solve for x
    x = 543,059,929,476/475,924
  6. Step 6: Final answer
    x = 1,141,064.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.