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Finding the Third Proportional to 354,644 and 545,124

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Solution

The third proportional to 354,644 and 545,124 is: 837,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,644 : 545,124 = 545,124 : x
  2. Step 2: Convert to fraction form
    354,644/545,124 = 545,124/x
  3. Step 3: Cross multiply
    354,644x = 545,124 × 545,124
  4. Step 4: Simplify right side
    354,644x = 297,160,175,376
  5. Step 5: Solve for x
    x = 297,160,175,376/354,644
  6. Step 6: Final answer
    x = 837,911.19

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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.