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Finding the Third Proportional to 508,441.50 and 1,114,569

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Solution

The third proportional to 508,441.50 and 1,114,569 is: 2,443,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,441.50 : 1,114,569 = 1,114,569 : x
  2. Step 2: Convert to fraction form
    508,441.50/1,114,569 = 1,114,569/x
  3. Step 3: Cross multiply
    508,441.50x = 1,114,569 × 1,114,569
  4. Step 4: Simplify right side
    508,441.50x = 1,242,264,055,761
  5. Step 5: Solve for x
    x = 1,242,264,055,761/508,441.50
  6. Step 6: Final answer
    x = 2,443,278.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.