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Finding the Third Proportional to 529.50 and 777.75

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Solution

The third proportional to 529.50 and 777.75 is: 1,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.50 : 777.75 = 777.75 : x
  2. Step 2: Convert to fraction form
    529.50/777.75 = 777.75/x
  3. Step 3: Cross multiply
    529.50x = 777.75 × 777.75
  4. Step 4: Simplify right side
    529.50x = 604,895.06
  5. Step 5: Solve for x
    x = 604,895.06/529.50
  6. Step 6: Final answer
    x = 1,142.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.