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Finding the Third Proportional to 428,595 and 583,766

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Solution

The third proportional to 428,595 and 583,766 is: 795,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,595 : 583,766 = 583,766 : x
  2. Step 2: Convert to fraction form
    428,595/583,766 = 583,766/x
  3. Step 3: Cross multiply
    428,595x = 583,766 × 583,766
  4. Step 4: Simplify right side
    428,595x = 340,782,742,756
  5. Step 5: Solve for x
    x = 340,782,742,756/428,595
  6. Step 6: Final answer
    x = 795,116.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.