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Finding the Third Proportional to 428,598 and 583,771

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Solution

The third proportional to 428,598 and 583,771 is: 795,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,598 : 583,771 = 583,771 : x
  2. Step 2: Convert to fraction form
    428,598/583,771 = 583,771/x
  3. Step 3: Cross multiply
    428,598x = 583,771 × 583,771
  4. Step 4: Simplify right side
    428,598x = 340,788,580,441
  5. Step 5: Solve for x
    x = 340,788,580,441/428,598
  6. Step 6: Final answer
    x = 795,124.06

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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.