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Finding the Third Proportional to 501,309 and 1,043,926.50

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Solution

The third proportional to 501,309 and 1,043,926.50 is: 2,173,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,309 : 1,043,926.50 = 1,043,926.50 : x
  2. Step 2: Convert to fraction form
    501,309/1,043,926.50 = 1,043,926.50/x
  3. Step 3: Cross multiply
    501,309x = 1,043,926.50 × 1,043,926.50
  4. Step 4: Simplify right side
    501,309x = 1,089,782,537,402.25
  5. Step 5: Solve for x
    x = 1,089,782,537,402.25/501,309
  6. Step 6: Final answer
    x = 2,173,873.87

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Why These Related Problems?

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