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Finding the Third Proportional to 509,100 and 754,843.50

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Solution

The third proportional to 509,100 and 754,843.50 is: 1,119,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,100 : 754,843.50 = 754,843.50 : x
  2. Step 2: Convert to fraction form
    509,100/754,843.50 = 754,843.50/x
  3. Step 3: Cross multiply
    509,100x = 754,843.50 × 754,843.50
  4. Step 4: Simplify right side
    509,100x = 569,788,709,492.25
  5. Step 5: Solve for x
    x = 569,788,709,492.25/509,100
  6. Step 6: Final answer
    x = 1,119,207.84

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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.