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Finding the Third Proportional to 317,719 and 466,849.50

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Solution

The third proportional to 317,719 and 466,849.50 is: 685,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,719 : 466,849.50 = 466,849.50 : x
  2. Step 2: Convert to fraction form
    317,719/466,849.50 = 466,849.50/x
  3. Step 3: Cross multiply
    317,719x = 466,849.50 × 466,849.50
  4. Step 4: Simplify right side
    317,719x = 217,948,455,650.25
  5. Step 5: Solve for x
    x = 217,948,455,650.25/317,719
  6. Step 6: Final answer
    x = 685,978.67

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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.