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Finding the Third Proportional to 366,724 and 583,530

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Solution

The third proportional to 366,724 and 583,530 is: 928,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,724 : 583,530 = 583,530 : x
  2. Step 2: Convert to fraction form
    366,724/583,530 = 583,530/x
  3. Step 3: Cross multiply
    366,724x = 583,530 × 583,530
  4. Step 4: Simplify right side
    366,724x = 340,507,260,900
  5. Step 5: Solve for x
    x = 340,507,260,900/366,724
  6. Step 6: Final answer
    x = 928,510.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.