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Finding the Third Proportional to 272,931 and 370,806

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Solution

The third proportional to 272,931 and 370,806 is: 503,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,931 : 370,806 = 370,806 : x
  2. Step 2: Convert to fraction form
    272,931/370,806 = 370,806/x
  3. Step 3: Cross multiply
    272,931x = 370,806 × 370,806
  4. Step 4: Simplify right side
    272,931x = 137,497,089,636
  5. Step 5: Solve for x
    x = 137,497,089,636/272,931
  6. Step 6: Final answer
    x = 503,779.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.