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Finding the Third Proportional to 528,161 and 780,593.50

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Solution

The third proportional to 528,161 and 780,593.50 is: 1,153,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,161 : 780,593.50 = 780,593.50 : x
  2. Step 2: Convert to fraction form
    528,161/780,593.50 = 780,593.50/x
  3. Step 3: Cross multiply
    528,161x = 780,593.50 × 780,593.50
  4. Step 4: Simplify right side
    528,161x = 609,326,212,242.25
  5. Step 5: Solve for x
    x = 609,326,212,242.25/528,161
  6. Step 6: Final answer
    x = 1,153,675.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.