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Finding the Third Proportional to 290,702 and 623,434

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Solution

The third proportional to 290,702 and 623,434 is: 1,337,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,702 : 623,434 = 623,434 : x
  2. Step 2: Convert to fraction form
    290,702/623,434 = 623,434/x
  3. Step 3: Cross multiply
    290,702x = 623,434 × 623,434
  4. Step 4: Simplify right side
    290,702x = 388,669,952,356
  5. Step 5: Solve for x
    x = 388,669,952,356/290,702
  6. Step 6: Final answer
    x = 1,337,004.74

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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.