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Finding the Third Proportional to 507,457.50 and 1,105,323

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Solution

The third proportional to 507,457.50 and 1,105,323 is: 2,407,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,457.50 : 1,105,323 = 1,105,323 : x
  2. Step 2: Convert to fraction form
    507,457.50/1,105,323 = 1,105,323/x
  3. Step 3: Cross multiply
    507,457.50x = 1,105,323 × 1,105,323
  4. Step 4: Simplify right side
    507,457.50x = 1,221,738,934,329
  5. Step 5: Solve for x
    x = 1,221,738,934,329/507,457.50
  6. Step 6: Final answer
    x = 2,407,568.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.