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Finding the Third Proportional to 564,907.50 and 1,188,013.50

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Solution

The third proportional to 564,907.50 and 1,188,013.50 is: 2,498,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,907.50 : 1,188,013.50 = 1,188,013.50 : x
  2. Step 2: Convert to fraction form
    564,907.50/1,188,013.50 = 1,188,013.50/x
  3. Step 3: Cross multiply
    564,907.50x = 1,188,013.50 × 1,188,013.50
  4. Step 4: Simplify right side
    564,907.50x = 1,411,376,076,182.25
  5. Step 5: Solve for x
    x = 1,411,376,076,182.25/564,907.50
  6. Step 6: Final answer
    x = 2,498,419.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.