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Finding the Third Proportional to 369,466.50 and 799,656.50

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Solution

The third proportional to 369,466.50 and 799,656.50 is: 1,730,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,466.50 : 799,656.50 = 799,656.50 : x
  2. Step 2: Convert to fraction form
    369,466.50/799,656.50 = 799,656.50/x
  3. Step 3: Cross multiply
    369,466.50x = 799,656.50 × 799,656.50
  4. Step 4: Simplify right side
    369,466.50x = 639,450,517,992.25
  5. Step 5: Solve for x
    x = 639,450,517,992.25/369,466.50
  6. Step 6: Final answer
    x = 1,730,740.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.