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Finding the Third Proportional to 276,075.84 and 583,982.16

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Solution

The third proportional to 276,075.84 and 583,982.16 is: 1,235,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,075.84 : 583,982.16 = 583,982.16 : x
  2. Step 2: Convert to fraction form
    276,075.84/583,982.16 = 583,982.16/x
  3. Step 3: Cross multiply
    276,075.84x = 583,982.16 × 583,982.16
  4. Step 4: Simplify right side
    276,075.84x = 341,035,158,818.40
  5. Step 5: Solve for x
    x = 341,035,158,818.40/276,075.84
  6. Step 6: Final answer
    x = 1,235,295.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.