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Finding the Third Proportional to 488,833.50 and 715,749.50

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Solution

The third proportional to 488,833.50 and 715,749.50 is: 1,047,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,833.50 : 715,749.50 = 715,749.50 : x
  2. Step 2: Convert to fraction form
    488,833.50/715,749.50 = 715,749.50/x
  3. Step 3: Cross multiply
    488,833.50x = 715,749.50 × 715,749.50
  4. Step 4: Simplify right side
    488,833.50x = 512,297,346,750.25
  5. Step 5: Solve for x
    x = 512,297,346,750.25/488,833.50
  6. Step 6: Final answer
    x = 1,047,999.67

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Why These Related Problems?

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