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Finding the Third Proportional to 354,473 and 544,851

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Solution

The third proportional to 354,473 and 544,851 is: 837,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,473 : 544,851 = 544,851 : x
  2. Step 2: Convert to fraction form
    354,473/544,851 = 544,851/x
  3. Step 3: Cross multiply
    354,473x = 544,851 × 544,851
  4. Step 4: Simplify right side
    354,473x = 296,862,612,201
  5. Step 5: Solve for x
    x = 296,862,612,201/354,473
  6. Step 6: Final answer
    x = 837,475.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.