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Finding the Third Proportional to 611,140.50 and 967,497

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Solution

The third proportional to 611,140.50 and 967,497 is: 1,531,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,140.50 : 967,497 = 967,497 : x
  2. Step 2: Convert to fraction form
    611,140.50/967,497 = 967,497/x
  3. Step 3: Cross multiply
    611,140.50x = 967,497 × 967,497
  4. Step 4: Simplify right side
    611,140.50x = 936,050,445,009
  5. Step 5: Solve for x
    x = 936,050,445,009/611,140.50
  6. Step 6: Final answer
    x = 1,531,645.25

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.