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Finding the Third Proportional to 294,378 and 466,899

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Solution

The third proportional to 294,378 and 466,899 is: 740,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,378 : 466,899 = 466,899 : x
  2. Step 2: Convert to fraction form
    294,378/466,899 = 466,899/x
  3. Step 3: Cross multiply
    294,378x = 466,899 × 466,899
  4. Step 4: Simplify right side
    294,378x = 217,994,676,201
  5. Step 5: Solve for x
    x = 217,994,676,201/294,378
  6. Step 6: Final answer
    x = 740,526.39

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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.