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Finding the Third Proportional to 294,321 and 466,358

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Solution

The third proportional to 294,321 and 466,358 is: 738,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,321 : 466,358 = 466,358 : x
  2. Step 2: Convert to fraction form
    294,321/466,358 = 466,358/x
  3. Step 3: Cross multiply
    294,321x = 466,358 × 466,358
  4. Step 4: Simplify right side
    294,321x = 217,489,784,164
  5. Step 5: Solve for x
    x = 217,489,784,164/294,321
  6. Step 6: Final answer
    x = 738,954.35

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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.