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Finding the Third Proportional to 273,305 and 599,260

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Solution

The third proportional to 273,305 and 599,260 is: 1,313,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,305 : 599,260 = 599,260 : x
  2. Step 2: Convert to fraction form
    273,305/599,260 = 599,260/x
  3. Step 3: Cross multiply
    273,305x = 599,260 × 599,260
  4. Step 4: Simplify right side
    273,305x = 359,112,547,600
  5. Step 5: Solve for x
    x = 359,112,547,600/273,305
  6. Step 6: Final answer
    x = 1,313,962.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.