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Finding the Third Proportional to 289,929.94 and 599,747.91

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Solution

The third proportional to 289,929.94 and 599,747.91 is: 1,240,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,929.94 : 599,747.91 = 599,747.91 : x
  2. Step 2: Convert to fraction form
    289,929.94/599,747.91 = 599,747.91/x
  3. Step 3: Cross multiply
    289,929.94x = 599,747.91 × 599,747.91
  4. Step 4: Simplify right side
    289,929.94x = 359,697,551,051.26
  5. Step 5: Solve for x
    x = 359,697,551,051.26/289,929.94
  6. Step 6: Final answer
    x = 1,240,636.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.