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Finding the Third Proportional to 536,452.88 and 751,948.31

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Solution

The third proportional to 536,452.88 and 751,948.31 is: 1,054,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,452.88 : 751,948.31 = 751,948.31 : x
  2. Step 2: Convert to fraction form
    536,452.88/751,948.31 = 751,948.31/x
  3. Step 3: Cross multiply
    536,452.88x = 751,948.31 × 751,948.31
  4. Step 4: Simplify right side
    536,452.88x = 565,426,264,671.60
  5. Step 5: Solve for x
    x = 565,426,264,671.60/536,452.88
  6. Step 6: Final answer
    x = 1,054,009.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.