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Finding the Third Proportional to 286,409.50 and 420,842.25

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Solution

The third proportional to 286,409.50 and 420,842.25 is: 618,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,409.50 : 420,842.25 = 420,842.25 : x
  2. Step 2: Convert to fraction form
    286,409.50/420,842.25 = 420,842.25/x
  3. Step 3: Cross multiply
    286,409.50x = 420,842.25 × 420,842.25
  4. Step 4: Simplify right side
    286,409.50x = 177,108,199,385.06
  5. Step 5: Solve for x
    x = 177,108,199,385.06/286,409.50
  6. Step 6: Final answer
    x = 618,374.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.