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Finding the Third Proportional to 373,596 and 583,722

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Solution

The third proportional to 373,596 and 583,722 is: 912,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,596 : 583,722 = 583,722 : x
  2. Step 2: Convert to fraction form
    373,596/583,722 = 583,722/x
  3. Step 3: Cross multiply
    373,596x = 583,722 × 583,722
  4. Step 4: Simplify right side
    373,596x = 340,731,373,284
  5. Step 5: Solve for x
    x = 340,731,373,284/373,596
  6. Step 6: Final answer
    x = 912,031.64

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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.