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Finding the Third Proportional to 430,555.50 and 942,921

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Solution

The third proportional to 430,555.50 and 942,921 is: 2,065,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,555.50 : 942,921 = 942,921 : x
  2. Step 2: Convert to fraction form
    430,555.50/942,921 = 942,921/x
  3. Step 3: Cross multiply
    430,555.50x = 942,921 × 942,921
  4. Step 4: Simplify right side
    430,555.50x = 889,100,012,241
  5. Step 5: Solve for x
    x = 889,100,012,241/430,555.50
  6. Step 6: Final answer
    x = 2,065,006.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.