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Finding the Third Proportional to 453,708 and 696,423

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Solution

The third proportional to 453,708 and 696,423 is: 1,068,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,708 : 696,423 = 696,423 : x
  2. Step 2: Convert to fraction form
    453,708/696,423 = 696,423/x
  3. Step 3: Cross multiply
    453,708x = 696,423 × 696,423
  4. Step 4: Simplify right side
    453,708x = 485,004,994,929
  5. Step 5: Solve for x
    x = 485,004,994,929/453,708
  6. Step 6: Final answer
    x = 1,068,980.48

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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.