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Finding the Third Proportional to 294,319 and 466,355

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Solution

The third proportional to 294,319 and 466,355 is: 738,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,319 : 466,355 = 466,355 : x
  2. Step 2: Convert to fraction form
    294,319/466,355 = 466,355/x
  3. Step 3: Cross multiply
    294,319x = 466,355 × 466,355
  4. Step 4: Simplify right side
    294,319x = 217,486,986,025
  5. Step 5: Solve for x
    x = 217,486,986,025/294,319
  6. Step 6: Final answer
    x = 738,949.87

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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.