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Finding the Third Proportional to 355,648.50 and 770,319

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Solution

The third proportional to 355,648.50 and 770,319 is: 1,668,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,648.50 : 770,319 = 770,319 : x
  2. Step 2: Convert to fraction form
    355,648.50/770,319 = 770,319/x
  3. Step 3: Cross multiply
    355,648.50x = 770,319 × 770,319
  4. Step 4: Simplify right side
    355,648.50x = 593,391,361,761
  5. Step 5: Solve for x
    x = 593,391,361,761/355,648.50
  6. Step 6: Final answer
    x = 1,668,477.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.