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Finding the Third Proportional to 453,704 and 696,417

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Solution

The third proportional to 453,704 and 696,417 is: 1,068,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,704 : 696,417 = 696,417 : x
  2. Step 2: Convert to fraction form
    453,704/696,417 = 696,417/x
  3. Step 3: Cross multiply
    453,704x = 696,417 × 696,417
  4. Step 4: Simplify right side
    453,704x = 484,996,637,889
  5. Step 5: Solve for x
    x = 484,996,637,889/453,704
  6. Step 6: Final answer
    x = 1,068,971.48

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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.