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Finding the Third Proportional to 373,589.50 and 583,712

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Solution

The third proportional to 373,589.50 and 583,712 is: 912,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,589.50 : 583,712 = 583,712 : x
  2. Step 2: Convert to fraction form
    373,589.50/583,712 = 583,712/x
  3. Step 3: Cross multiply
    373,589.50x = 583,712 × 583,712
  4. Step 4: Simplify right side
    373,589.50x = 340,719,698,944
  5. Step 5: Solve for x
    x = 340,719,698,944/373,589.50
  6. Step 6: Final answer
    x = 912,016.26

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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.