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Finding the Third Proportional to 525,015 and 814,468.50

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Solution

The third proportional to 525,015 and 814,468.50 is: 1,263,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,015 : 814,468.50 = 814,468.50 : x
  2. Step 2: Convert to fraction form
    525,015/814,468.50 = 814,468.50/x
  3. Step 3: Cross multiply
    525,015x = 814,468.50 × 814,468.50
  4. Step 4: Simplify right side
    525,015x = 663,358,937,492.25
  5. Step 5: Solve for x
    x = 663,358,937,492.25/525,015
  6. Step 6: Final answer
    x = 1,263,504.73

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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.