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Finding the Third Proportional to 665,041.50 and 973,975.50

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Solution

The third proportional to 665,041.50 and 973,975.50 is: 1,426,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,041.50 : 973,975.50 = 973,975.50 : x
  2. Step 2: Convert to fraction form
    665,041.50/973,975.50 = 973,975.50/x
  3. Step 3: Cross multiply
    665,041.50x = 973,975.50 × 973,975.50
  4. Step 4: Simplify right side
    665,041.50x = 948,628,274,600.25
  5. Step 5: Solve for x
    x = 948,628,274,600.25/665,041.50
  6. Step 6: Final answer
    x = 1,426,419.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.