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Finding the Third Proportional to 391,924.50 and 572,763

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Solution

The third proportional to 391,924.50 and 572,763 is: 837,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,924.50 : 572,763 = 572,763 : x
  2. Step 2: Convert to fraction form
    391,924.50/572,763 = 572,763/x
  3. Step 3: Cross multiply
    391,924.50x = 572,763 × 572,763
  4. Step 4: Simplify right side
    391,924.50x = 328,057,454,169
  5. Step 5: Solve for x
    x = 328,057,454,169/391,924.50
  6. Step 6: Final answer
    x = 837,042.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.