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Finding the Third Proportional to 499,410 and 765,882

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Solution

The third proportional to 499,410 and 765,882 is: 1,174,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,410 : 765,882 = 765,882 : x
  2. Step 2: Convert to fraction form
    499,410/765,882 = 765,882/x
  3. Step 3: Cross multiply
    499,410x = 765,882 × 765,882
  4. Step 4: Simplify right side
    499,410x = 586,575,237,924
  5. Step 5: Solve for x
    x = 586,575,237,924/499,410
  6. Step 6: Final answer
    x = 1,174,536.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.