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Finding the Third Proportional to 341,135,815.50 and 524,026,339.31

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Solution

The third proportional to 341,135,815.50 and 524,026,339.31 is: 804,968,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,135,815.50 : 524,026,339.31 = 524,026,339.31 : x
  2. Step 2: Convert to fraction form
    341,135,815.50/524,026,339.31 = 524,026,339.31/x
  3. Step 3: Cross multiply
    341,135,815.50x = 524,026,339.31 × 524,026,339.31
  4. Step 4: Simplify right side
    341,135,815.50x = 274,603,604,293,259,392
  5. Step 5: Solve for x
    x = 274,603,604,293,259,392/341,135,815.50
  6. Step 6: Final answer
    x = 804,968,554.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.