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Finding the Third Proportional to 611,454.25 and 830,339.25

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Solution

The third proportional to 611,454.25 and 830,339.25 is: 1,127,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,454.25 : 830,339.25 = 830,339.25 : x
  2. Step 2: Convert to fraction form
    611,454.25/830,339.25 = 830,339.25/x
  3. Step 3: Cross multiply
    611,454.25x = 830,339.25 × 830,339.25
  4. Step 4: Simplify right side
    611,454.25x = 689,463,270,090.56
  5. Step 5: Solve for x
    x = 689,463,270,090.56/611,454.25
  6. Step 6: Final answer
    x = 1,127,579.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.