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Finding the Third Proportional to 538,851 and 898,045.50

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Solution

The third proportional to 538,851 and 898,045.50 is: 1,496,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,851 : 898,045.50 = 898,045.50 : x
  2. Step 2: Convert to fraction form
    538,851/898,045.50 = 898,045.50/x
  3. Step 3: Cross multiply
    538,851x = 898,045.50 × 898,045.50
  4. Step 4: Simplify right side
    538,851x = 806,485,720,070.25
  5. Step 5: Solve for x
    x = 806,485,720,070.25/538,851
  6. Step 6: Final answer
    x = 1,496,676.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.