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Finding the Third Proportional to 305,929.50 and 492,516

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Solution

The third proportional to 305,929.50 and 492,516 is: 792,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,929.50 : 492,516 = 492,516 : x
  2. Step 2: Convert to fraction form
    305,929.50/492,516 = 492,516/x
  3. Step 3: Cross multiply
    305,929.50x = 492,516 × 492,516
  4. Step 4: Simplify right side
    305,929.50x = 242,572,010,256
  5. Step 5: Solve for x
    x = 242,572,010,256/305,929.50
  6. Step 6: Final answer
    x = 792,901.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.