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Finding the Third Proportional to 701,862.75 and 977,901.75

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Solution

The third proportional to 701,862.75 and 977,901.75 is: 1,362,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,862.75 : 977,901.75 = 977,901.75 : x
  2. Step 2: Convert to fraction form
    701,862.75/977,901.75 = 977,901.75/x
  3. Step 3: Cross multiply
    701,862.75x = 977,901.75 × 977,901.75
  4. Step 4: Simplify right side
    701,862.75x = 956,291,832,653.06
  5. Step 5: Solve for x
    x = 956,291,832,653.06/701,862.75
  6. Step 6: Final answer
    x = 1,362,505.47

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.