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Finding the Third Proportional to 386,446.88 and 583,899.75

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Solution

The third proportional to 386,446.88 and 583,899.75 is: 882,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,446.88 : 583,899.75 = 583,899.75 : x
  2. Step 2: Convert to fraction form
    386,446.88/583,899.75 = 583,899.75/x
  3. Step 3: Cross multiply
    386,446.88x = 583,899.75 × 583,899.75
  4. Step 4: Simplify right side
    386,446.88x = 340,938,918,050.06
  5. Step 5: Solve for x
    x = 340,938,918,050.06/386,446.88
  6. Step 6: Final answer
    x = 882,240.07

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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.