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Finding the Third Proportional to 521,796 and 744,178

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Solution

The third proportional to 521,796 and 744,178 is: 1,061,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,796 : 744,178 = 744,178 : x
  2. Step 2: Convert to fraction form
    521,796/744,178 = 744,178/x
  3. Step 3: Cross multiply
    521,796x = 744,178 × 744,178
  4. Step 4: Simplify right side
    521,796x = 553,800,895,684
  5. Step 5: Solve for x
    x = 553,800,895,684/521,796
  6. Step 6: Final answer
    x = 1,061,336.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.