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Finding the Third Proportional to 357,930 and 771,907.50

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Solution

The third proportional to 357,930 and 771,907.50 is: 1,664,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,930 : 771,907.50 = 771,907.50 : x
  2. Step 2: Convert to fraction form
    357,930/771,907.50 = 771,907.50/x
  3. Step 3: Cross multiply
    357,930x = 771,907.50 × 771,907.50
  4. Step 4: Simplify right side
    357,930x = 595,841,188,556.25
  5. Step 5: Solve for x
    x = 595,841,188,556.25/357,930
  6. Step 6: Final answer
    x = 1,664,686.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.