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Finding the Third Proportional to 301,816.50 and 423,022.50

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Solution

The third proportional to 301,816.50 and 423,022.50 is: 592,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,816.50 : 423,022.50 = 423,022.50 : x
  2. Step 2: Convert to fraction form
    301,816.50/423,022.50 = 423,022.50/x
  3. Step 3: Cross multiply
    301,816.50x = 423,022.50 × 423,022.50
  4. Step 4: Simplify right side
    301,816.50x = 178,948,035,506.25
  5. Step 5: Solve for x
    x = 178,948,035,506.25/301,816.50
  6. Step 6: Final answer
    x = 592,903.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.