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Finding the Third Proportional to 501,280 and 775,666

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Solution

The third proportional to 501,280 and 775,666 is: 1,200,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,280 : 775,666 = 775,666 : x
  2. Step 2: Convert to fraction form
    501,280/775,666 = 775,666/x
  3. Step 3: Cross multiply
    501,280x = 775,666 × 775,666
  4. Step 4: Simplify right side
    501,280x = 601,657,743,556
  5. Step 5: Solve for x
    x = 601,657,743,556/501,280
  6. Step 6: Final answer
    x = 1,200,242.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.