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Finding the Third Proportional to 294,270 and 466,281

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Solution

The third proportional to 294,270 and 466,281 is: 738,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,270 : 466,281 = 466,281 : x
  2. Step 2: Convert to fraction form
    294,270/466,281 = 466,281/x
  3. Step 3: Cross multiply
    294,270x = 466,281 × 466,281
  4. Step 4: Simplify right side
    294,270x = 217,417,970,961
  5. Step 5: Solve for x
    x = 217,417,970,961/294,270
  6. Step 6: Final answer
    x = 738,838.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.