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Finding the Third Proportional to 523,773 and 800,878.50

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Solution

The third proportional to 523,773 and 800,878.50 is: 1,224,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,773 : 800,878.50 = 800,878.50 : x
  2. Step 2: Convert to fraction form
    523,773/800,878.50 = 800,878.50/x
  3. Step 3: Cross multiply
    523,773x = 800,878.50 × 800,878.50
  4. Step 4: Simplify right side
    523,773x = 641,406,371,762.25
  5. Step 5: Solve for x
    x = 641,406,371,762.25/523,773
  6. Step 6: Final answer
    x = 1,224,588.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.