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Finding the Third Proportional to 305,049 and 463,792.50

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Solution

The third proportional to 305,049 and 463,792.50 is: 705,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,049 : 463,792.50 = 463,792.50 : x
  2. Step 2: Convert to fraction form
    305,049/463,792.50 = 463,792.50/x
  3. Step 3: Cross multiply
    305,049x = 463,792.50 × 463,792.50
  4. Step 4: Simplify right side
    305,049x = 215,103,483,056.25
  5. Step 5: Solve for x
    x = 215,103,483,056.25/305,049
  6. Step 6: Final answer
    x = 705,144.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.