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Finding the Third Proportional to 482,457.50 and 1,048,952.50

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Solution

The third proportional to 482,457.50 and 1,048,952.50 is: 2,280,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,457.50 : 1,048,952.50 = 1,048,952.50 : x
  2. Step 2: Convert to fraction form
    482,457.50/1,048,952.50 = 1,048,952.50/x
  3. Step 3: Cross multiply
    482,457.50x = 1,048,952.50 × 1,048,952.50
  4. Step 4: Simplify right side
    482,457.50x = 1,100,301,347,256.25
  5. Step 5: Solve for x
    x = 1,100,301,347,256.25/482,457.50
  6. Step 6: Final answer
    x = 2,280,618.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.