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Finding the Third Proportional to 265,001.63 and 580,470.05

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Solution

The third proportional to 265,001.63 and 580,470.05 is: 1,271,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,001.63 : 580,470.05 = 580,470.05 : x
  2. Step 2: Convert to fraction form
    265,001.63/580,470.05 = 580,470.05/x
  3. Step 3: Cross multiply
    265,001.63x = 580,470.05 × 580,470.05
  4. Step 4: Simplify right side
    265,001.63x = 336,945,475,319.07
  5. Step 5: Solve for x
    x = 336,945,475,319.07/265,001.63
  6. Step 6: Final answer
    x = 1,271,484.56

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