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Finding the Third Proportional to 294,373 and 466,894

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Solution

The third proportional to 294,373 and 466,894 is: 740,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,373 : 466,894 = 466,894 : x
  2. Step 2: Convert to fraction form
    294,373/466,894 = 466,894/x
  3. Step 3: Cross multiply
    294,373x = 466,894 × 466,894
  4. Step 4: Simplify right side
    294,373x = 217,990,007,236
  5. Step 5: Solve for x
    x = 217,990,007,236/294,373
  6. Step 6: Final answer
    x = 740,523.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.