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Finding the Third Proportional to 290,817 and 623,754

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Solution

The third proportional to 290,817 and 623,754 is: 1,337,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,817 : 623,754 = 623,754 : x
  2. Step 2: Convert to fraction form
    290,817/623,754 = 623,754/x
  3. Step 3: Cross multiply
    290,817x = 623,754 × 623,754
  4. Step 4: Simplify right side
    290,817x = 389,069,052,516
  5. Step 5: Solve for x
    x = 389,069,052,516/290,817
  6. Step 6: Final answer
    x = 1,337,848.38

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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.