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Finding the Third Proportional to 476,902.69 and 716,276.67

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Solution

The third proportional to 476,902.69 and 716,276.67 is: 1,075,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,902.69 : 716,276.67 = 716,276.67 : x
  2. Step 2: Convert to fraction form
    476,902.69/716,276.67 = 716,276.67/x
  3. Step 3: Cross multiply
    476,902.69x = 716,276.67 × 716,276.67
  4. Step 4: Simplify right side
    476,902.69x = 513,052,270,672.33
  5. Step 5: Solve for x
    x = 513,052,270,672.33/476,902.69
  6. Step 6: Final answer
    x = 1,075,800.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.