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Finding the Third Proportional to 580,648.50 and 853,886.81

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Solution

The third proportional to 580,648.50 and 853,886.81 is: 1,255,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,648.50 : 853,886.81 = 853,886.81 : x
  2. Step 2: Convert to fraction form
    580,648.50/853,886.81 = 853,886.81/x
  3. Step 3: Cross multiply
    580,648.50x = 853,886.81 × 853,886.81
  4. Step 4: Simplify right side
    580,648.50x = 729,122,688,561.41
  5. Step 5: Solve for x
    x = 729,122,688,561.41/580,648.50
  6. Step 6: Final answer
    x = 1,255,704.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.