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Finding the Third Proportional to 428,596 and 583,768

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Solution

The third proportional to 428,596 and 583,768 is: 795,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,596 : 583,768 = 583,768 : x
  2. Step 2: Convert to fraction form
    428,596/583,768 = 583,768/x
  3. Step 3: Cross multiply
    428,596x = 583,768 × 583,768
  4. Step 4: Simplify right side
    428,596x = 340,785,077,824
  5. Step 5: Solve for x
    x = 340,785,077,824/428,596
  6. Step 6: Final answer
    x = 795,119.59

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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.