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Finding the Third Proportional to 370,068.75 and 806,962.50

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Solution

The third proportional to 370,068.75 and 806,962.50 is: 1,759,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,068.75 : 806,962.50 = 806,962.50 : x
  2. Step 2: Convert to fraction form
    370,068.75/806,962.50 = 806,962.50/x
  3. Step 3: Cross multiply
    370,068.75x = 806,962.50 × 806,962.50
  4. Step 4: Simplify right side
    370,068.75x = 651,188,476,406.25
  5. Step 5: Solve for x
    x = 651,188,476,406.25/370,068.75
  6. Step 6: Final answer
    x = 1,759,641.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.