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Finding the Third Proportional to 262,075.50 and 558,468

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Solution

The third proportional to 262,075.50 and 558,468 is: 1,190,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,075.50 : 558,468 = 558,468 : x
  2. Step 2: Convert to fraction form
    262,075.50/558,468 = 558,468/x
  3. Step 3: Cross multiply
    262,075.50x = 558,468 × 558,468
  4. Step 4: Simplify right side
    262,075.50x = 311,886,507,024
  5. Step 5: Solve for x
    x = 311,886,507,024/262,075.50
  6. Step 6: Final answer
    x = 1,190,063.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.