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Finding the Third Proportional to 283,617 and 423,427.50

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Solution

The third proportional to 283,617 and 423,427.50 is: 632,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,617 : 423,427.50 = 423,427.50 : x
  2. Step 2: Convert to fraction form
    283,617/423,427.50 = 423,427.50/x
  3. Step 3: Cross multiply
    283,617x = 423,427.50 × 423,427.50
  4. Step 4: Simplify right side
    283,617x = 179,290,847,756.25
  5. Step 5: Solve for x
    x = 179,290,847,756.25/283,617
  6. Step 6: Final answer
    x = 632,158.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.