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Finding the Third Proportional to 265,352.20 and 572,940.84

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Solution

The third proportional to 265,352.20 and 572,940.84 is: 1,237,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,352.20 : 572,940.84 = 572,940.84 : x
  2. Step 2: Convert to fraction form
    265,352.20/572,940.84 = 572,940.84/x
  3. Step 3: Cross multiply
    265,352.20x = 572,940.84 × 572,940.84
  4. Step 4: Simplify right side
    265,352.20x = 328,261,210,436.96
  5. Step 5: Solve for x
    x = 328,261,210,436.96/265,352.20
  6. Step 6: Final answer
    x = 1,237,077.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.