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Finding the Third Proportional to 391,909.50 and 572,742.09

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Solution

The third proportional to 391,909.50 and 572,742.09 is: 837,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,909.50 : 572,742.09 = 572,742.09 : x
  2. Step 2: Convert to fraction form
    391,909.50/572,742.09 = 572,742.09/x
  3. Step 3: Cross multiply
    391,909.50x = 572,742.09 × 572,742.09
  4. Step 4: Simplify right side
    391,909.50x = 328,033,505,953.13
  5. Step 5: Solve for x
    x = 328,033,505,953.13/391,909.50
  6. Step 6: Final answer
    x = 837,013.41

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