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Finding the Third Proportional to 776,068.50 and 1,159,323

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Solution

The third proportional to 776,068.50 and 1,159,323 is: 1,731,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,068.50 : 1,159,323 = 1,159,323 : x
  2. Step 2: Convert to fraction form
    776,068.50/1,159,323 = 1,159,323/x
  3. Step 3: Cross multiply
    776,068.50x = 1,159,323 × 1,159,323
  4. Step 4: Simplify right side
    776,068.50x = 1,344,029,818,329
  5. Step 5: Solve for x
    x = 1,344,029,818,329/776,068.50
  6. Step 6: Final answer
    x = 1,731,844.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.