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Finding the Third Proportional to 340,842 and 528,487.50

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Solution

The third proportional to 340,842 and 528,487.50 is: 819,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,842 : 528,487.50 = 528,487.50 : x
  2. Step 2: Convert to fraction form
    340,842/528,487.50 = 528,487.50/x
  3. Step 3: Cross multiply
    340,842x = 528,487.50 × 528,487.50
  4. Step 4: Simplify right side
    340,842x = 279,299,037,656.25
  5. Step 5: Solve for x
    x = 279,299,037,656.25/340,842
  6. Step 6: Final answer
    x = 819,438.44

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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.