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Finding the Third Proportional to 294,506 and 640,564

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Solution

The third proportional to 294,506 and 640,564 is: 1,393,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,506 : 640,564 = 640,564 : x
  2. Step 2: Convert to fraction form
    294,506/640,564 = 640,564/x
  3. Step 3: Cross multiply
    294,506x = 640,564 × 640,564
  4. Step 4: Simplify right side
    294,506x = 410,322,238,096
  5. Step 5: Solve for x
    x = 410,322,238,096/294,506
  6. Step 6: Final answer
    x = 1,393,255.95

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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.