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Finding the Third Proportional to 360,798 and 783,079.50

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Solution

The third proportional to 360,798 and 783,079.50 is: 1,699,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,798 : 783,079.50 = 783,079.50 : x
  2. Step 2: Convert to fraction form
    360,798/783,079.50 = 783,079.50/x
  3. Step 3: Cross multiply
    360,798x = 783,079.50 × 783,079.50
  4. Step 4: Simplify right side
    360,798x = 613,213,503,320.25
  5. Step 5: Solve for x
    x = 613,213,503,320.25/360,798
  6. Step 6: Final answer
    x = 1,699,603.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.