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Finding the Third Proportional to 373,618 and 583,757

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Solution

The third proportional to 373,618 and 583,757 is: 912,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,618 : 583,757 = 583,757 : x
  2. Step 2: Convert to fraction form
    373,618/583,757 = 583,757/x
  3. Step 3: Cross multiply
    373,618x = 583,757 × 583,757
  4. Step 4: Simplify right side
    373,618x = 340,772,235,049
  5. Step 5: Solve for x
    x = 340,772,235,049/373,618
  6. Step 6: Final answer
    x = 912,087.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.