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Finding the Third Proportional to 354,483 and 544,865

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Solution

The third proportional to 354,483 and 544,865 is: 837,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,483 : 544,865 = 544,865 : x
  2. Step 2: Convert to fraction form
    354,483/544,865 = 544,865/x
  3. Step 3: Cross multiply
    354,483x = 544,865 × 544,865
  4. Step 4: Simplify right side
    354,483x = 296,877,868,225
  5. Step 5: Solve for x
    x = 296,877,868,225/354,483
  6. Step 6: Final answer
    x = 837,495.36

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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.