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Finding the Third Proportional to 289,931.63 and 599,751

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Solution

The third proportional to 289,931.63 and 599,751 is: 1,240,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,931.63 : 599,751 = 599,751 : x
  2. Step 2: Convert to fraction form
    289,931.63/599,751 = 599,751/x
  3. Step 3: Cross multiply
    289,931.63x = 599,751 × 599,751
  4. Step 4: Simplify right side
    289,931.63x = 359,701,262,001
  5. Step 5: Solve for x
    x = 359,701,262,001/289,931.63
  6. Step 6: Final answer
    x = 1,240,641.69

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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.