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Finding the Third Proportional to 565,076.25 and 1,239,893.16

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Solution

The third proportional to 565,076.25 and 1,239,893.16 is: 2,720,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,076.25 : 1,239,893.16 = 1,239,893.16 : x
  2. Step 2: Convert to fraction form
    565,076.25/1,239,893.16 = 1,239,893.16/x
  3. Step 3: Cross multiply
    565,076.25x = 1,239,893.16 × 1,239,893.16
  4. Step 4: Simplify right side
    565,076.25x = 1,537,335,038,915.59
  5. Step 5: Solve for x
    x = 1,537,335,038,915.59/565,076.25
  6. Step 6: Final answer
    x = 2,720,579.81

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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.