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Finding the Third Proportional to 275,087.63 and 583,294.13

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Solution

The third proportional to 275,087.63 and 583,294.13 is: 1,236,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,087.63 : 583,294.13 = 583,294.13 : x
  2. Step 2: Convert to fraction form
    275,087.63/583,294.13 = 583,294.13/x
  3. Step 3: Cross multiply
    275,087.63x = 583,294.13 × 583,294.13
  4. Step 4: Simplify right side
    275,087.63x = 340,232,036,259.52
  5. Step 5: Solve for x
    x = 340,232,036,259.52/275,087.63
  6. Step 6: Final answer
    x = 1,236,813.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.