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Finding the Third Proportional to 233,812.50 and 508,569

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Solution

The third proportional to 233,812.50 and 508,569 is: 1,106,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,812.50 : 508,569 = 508,569 : x
  2. Step 2: Convert to fraction form
    233,812.50/508,569 = 508,569/x
  3. Step 3: Cross multiply
    233,812.50x = 508,569 × 508,569
  4. Step 4: Simplify right side
    233,812.50x = 258,642,427,761
  5. Step 5: Solve for x
    x = 258,642,427,761/233,812.50
  6. Step 6: Final answer
    x = 1,106,195.90

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Why These Related Problems?

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