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Finding the Third Proportional to 453,714 and 696,435

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Solution

The third proportional to 453,714 and 696,435 is: 1,069,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,714 : 696,435 = 696,435 : x
  2. Step 2: Convert to fraction form
    453,714/696,435 = 696,435/x
  3. Step 3: Cross multiply
    453,714x = 696,435 × 696,435
  4. Step 4: Simplify right side
    453,714x = 485,021,709,225
  5. Step 5: Solve for x
    x = 485,021,709,225/453,714
  6. Step 6: Final answer
    x = 1,069,003.18

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Why These Related Problems?

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