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Finding the Third Proportional to 244,075 and 506,596

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Solution

The third proportional to 244,075 and 506,596 is: 1,051,478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,075 : 506,596 = 506,596 : x
  2. Step 2: Convert to fraction form
    244,075/506,596 = 506,596/x
  3. Step 3: Cross multiply
    244,075x = 506,596 × 506,596
  4. Step 4: Simplify right side
    244,075x = 256,639,507,216
  5. Step 5: Solve for x
    x = 256,639,507,216/244,075
  6. Step 6: Final answer
    x = 1,051,478.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.