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Finding the Third Proportional to 557,449.50 and 841,399.50

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Solution

The third proportional to 557,449.50 and 841,399.50 is: 1,269,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,449.50 : 841,399.50 = 841,399.50 : x
  2. Step 2: Convert to fraction form
    557,449.50/841,399.50 = 841,399.50/x
  3. Step 3: Cross multiply
    557,449.50x = 841,399.50 × 841,399.50
  4. Step 4: Simplify right side
    557,449.50x = 707,953,118,600.25
  5. Step 5: Solve for x
    x = 707,953,118,600.25/557,449.50
  6. Step 6: Final answer
    x = 1,269,986.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.