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Finding the Third Proportional to 531,995.77 and 746,495.58

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Solution

The third proportional to 531,995.77 and 746,495.58 is: 1,047,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,995.77 : 746,495.58 = 746,495.58 : x
  2. Step 2: Convert to fraction form
    531,995.77/746,495.58 = 746,495.58/x
  3. Step 3: Cross multiply
    531,995.77x = 746,495.58 × 746,495.58
  4. Step 4: Simplify right side
    531,995.77x = 557,255,648,160.18
  5. Step 5: Solve for x
    x = 557,255,648,160.18/531,995.77
  6. Step 6: Final answer
    x = 1,047,481.36

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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.