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Finding the Third Proportional to 264,430.50 and 385,569

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Solution

The third proportional to 264,430.50 and 385,569 is: 562,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,430.50 : 385,569 = 385,569 : x
  2. Step 2: Convert to fraction form
    264,430.50/385,569 = 385,569/x
  3. Step 3: Cross multiply
    264,430.50x = 385,569 × 385,569
  4. Step 4: Simplify right side
    264,430.50x = 148,663,453,761
  5. Step 5: Solve for x
    x = 148,663,453,761/264,430.50
  6. Step 6: Final answer
    x = 562,202.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.