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Finding the Third Proportional to 354,484 and 544,868

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Solution

The third proportional to 354,484 and 544,868 is: 837,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,484 : 544,868 = 544,868 : x
  2. Step 2: Convert to fraction form
    354,484/544,868 = 544,868/x
  3. Step 3: Cross multiply
    354,484x = 544,868 × 544,868
  4. Step 4: Simplify right side
    354,484x = 296,881,137,424
  5. Step 5: Solve for x
    x = 296,881,137,424/354,484
  6. Step 6: Final answer
    x = 837,502.22

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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.