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Finding the Third Proportional to 366,950 and 583,776

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Solution

The third proportional to 366,950 and 583,776 is: 928,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,950 : 583,776 = 583,776 : x
  2. Step 2: Convert to fraction form
    366,950/583,776 = 583,776/x
  3. Step 3: Cross multiply
    366,950x = 583,776 × 583,776
  4. Step 4: Simplify right side
    366,950x = 340,794,418,176
  5. Step 5: Solve for x
    x = 340,794,418,176/366,950
  6. Step 6: Final answer
    x = 928,721.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.