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Finding the Third Proportional to 386,455.50 and 583,911

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Solution

The third proportional to 386,455.50 and 583,911 is: 882,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,455.50 : 583,911 = 583,911 : x
  2. Step 2: Convert to fraction form
    386,455.50/583,911 = 583,911/x
  3. Step 3: Cross multiply
    386,455.50x = 583,911 × 583,911
  4. Step 4: Simplify right side
    386,455.50x = 340,952,055,921
  5. Step 5: Solve for x
    x = 340,952,055,921/386,455.50
  6. Step 6: Final answer
    x = 882,254.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.