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Finding the Third Proportional to 455,803.50 and 977,833.50

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Solution

The third proportional to 455,803.50 and 977,833.50 is: 2,097,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,803.50 : 977,833.50 = 977,833.50 : x
  2. Step 2: Convert to fraction form
    455,803.50/977,833.50 = 977,833.50/x
  3. Step 3: Cross multiply
    455,803.50x = 977,833.50 × 977,833.50
  4. Step 4: Simplify right side
    455,803.50x = 956,158,353,722.25
  5. Step 5: Solve for x
    x = 956,158,353,722.25/455,803.50
  6. Step 6: Final answer
    x = 2,097,742.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.