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Finding the Third Proportional to 294,522 and 640,596

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Solution

The third proportional to 294,522 and 640,596 is: 1,393,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,522 : 640,596 = 640,596 : x
  2. Step 2: Convert to fraction form
    294,522/640,596 = 640,596/x
  3. Step 3: Cross multiply
    294,522x = 640,596 × 640,596
  4. Step 4: Simplify right side
    294,522x = 410,363,235,216
  5. Step 5: Solve for x
    x = 410,363,235,216/294,522
  6. Step 6: Final answer
    x = 1,393,319.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.