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Finding the Third Proportional to 340,699.50 and 529,038

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Solution

The third proportional to 340,699.50 and 529,038 is: 821,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,699.50 : 529,038 = 529,038 : x
  2. Step 2: Convert to fraction form
    340,699.50/529,038 = 529,038/x
  3. Step 3: Cross multiply
    340,699.50x = 529,038 × 529,038
  4. Step 4: Simplify right side
    340,699.50x = 279,881,205,444
  5. Step 5: Solve for x
    x = 279,881,205,444/340,699.50
  6. Step 6: Final answer
    x = 821,489.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.