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Finding the Third Proportional to 292,450 and 640,754

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Solution

The third proportional to 292,450 and 640,754 is: 1,403,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,450 : 640,754 = 640,754 : x
  2. Step 2: Convert to fraction form
    292,450/640,754 = 640,754/x
  3. Step 3: Cross multiply
    292,450x = 640,754 × 640,754
  4. Step 4: Simplify right side
    292,450x = 410,565,688,516
  5. Step 5: Solve for x
    x = 410,565,688,516/292,450
  6. Step 6: Final answer
    x = 1,403,883.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.