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Finding the Third Proportional to 442,075.50 and 965,106

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Solution

The third proportional to 442,075.50 and 965,106 is: 2,106,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,075.50 : 965,106 = 965,106 : x
  2. Step 2: Convert to fraction form
    442,075.50/965,106 = 965,106/x
  3. Step 3: Cross multiply
    442,075.50x = 965,106 × 965,106
  4. Step 4: Simplify right side
    442,075.50x = 931,429,591,236
  5. Step 5: Solve for x
    x = 931,429,591,236/442,075.50
  6. Step 6: Final answer
    x = 2,106,946.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.