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Finding the Third Proportional to 501,320.25 and 1,043,948.25

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Solution

The third proportional to 501,320.25 and 1,043,948.25 is: 2,173,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,320.25 : 1,043,948.25 = 1,043,948.25 : x
  2. Step 2: Convert to fraction form
    501,320.25/1,043,948.25 = 1,043,948.25/x
  3. Step 3: Cross multiply
    501,320.25x = 1,043,948.25 × 1,043,948.25
  4. Step 4: Simplify right side
    501,320.25x = 1,089,827,948,678.06
  5. Step 5: Solve for x
    x = 1,089,827,948,678.06/501,320.25
  6. Step 6: Final answer
    x = 2,173,915.67

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.