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Finding the Third Proportional to 535,707 and 727,558.50

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Solution

The third proportional to 535,707 and 727,558.50 is: 988,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,707 : 727,558.50 = 727,558.50 : x
  2. Step 2: Convert to fraction form
    535,707/727,558.50 = 727,558.50/x
  3. Step 3: Cross multiply
    535,707x = 727,558.50 × 727,558.50
  4. Step 4: Simplify right side
    535,707x = 529,341,370,922.25
  5. Step 5: Solve for x
    x = 529,341,370,922.25/535,707
  6. Step 6: Final answer
    x = 988,117.33

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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.