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Finding the Third Proportional to 543,415.50 and 798,495

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Solution

The third proportional to 543,415.50 and 798,495 is: 1,173,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,415.50 : 798,495 = 798,495 : x
  2. Step 2: Convert to fraction form
    543,415.50/798,495 = 798,495/x
  3. Step 3: Cross multiply
    543,415.50x = 798,495 × 798,495
  4. Step 4: Simplify right side
    543,415.50x = 637,594,265,025
  5. Step 5: Solve for x
    x = 637,594,265,025/543,415.50
  6. Step 6: Final answer
    x = 1,173,308.94

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