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Finding the Third Proportional to 373,590.50 and 583,713.50

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Solution

The third proportional to 373,590.50 and 583,713.50 is: 912,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,590.50 : 583,713.50 = 583,713.50 : x
  2. Step 2: Convert to fraction form
    373,590.50/583,713.50 = 583,713.50/x
  3. Step 3: Cross multiply
    373,590.50x = 583,713.50 × 583,713.50
  4. Step 4: Simplify right side
    373,590.50x = 340,721,450,082.25
  5. Step 5: Solve for x
    x = 340,721,450,082.25/373,590.50
  6. Step 6: Final answer
    x = 912,018.51

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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.