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Finding the Third Proportional to 291,704 and 623,870

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Solution

The third proportional to 291,704 and 623,870 is: 1,334,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,704 : 623,870 = 623,870 : x
  2. Step 2: Convert to fraction form
    291,704/623,870 = 623,870/x
  3. Step 3: Cross multiply
    291,704x = 623,870 × 623,870
  4. Step 4: Simplify right side
    291,704x = 389,213,776,900
  5. Step 5: Solve for x
    x = 389,213,776,900/291,704
  6. Step 6: Final answer
    x = 1,334,276.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.