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Finding the Third Proportional to 284,075.44 and 621,595.69

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Solution

The third proportional to 284,075.44 and 621,595.69 is: 1,360,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,075.44 : 621,595.69 = 621,595.69 : x
  2. Step 2: Convert to fraction form
    284,075.44/621,595.69 = 621,595.69/x
  3. Step 3: Cross multiply
    284,075.44x = 621,595.69 × 621,595.69
  4. Step 4: Simplify right side
    284,075.44x = 386,381,198,718.60
  5. Step 5: Solve for x
    x = 386,381,198,718.60/284,075.44
  6. Step 6: Final answer
    x = 1,360,135.89

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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.