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Finding the Third Proportional to 260,259.13 and 602,445.13

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Solution

The third proportional to 260,259.13 and 602,445.13 is: 1,394,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,259.13 : 602,445.13 = 602,445.13 : x
  2. Step 2: Convert to fraction form
    260,259.13/602,445.13 = 602,445.13/x
  3. Step 3: Cross multiply
    260,259.13x = 602,445.13 × 602,445.13
  4. Step 4: Simplify right side
    260,259.13x = 362,940,128,636.27
  5. Step 5: Solve for x
    x = 362,940,128,636.27/260,259.13
  6. Step 6: Final answer
    x = 1,394,533.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.