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Finding the Third Proportional to 253,632 and 535,556

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Solution

The third proportional to 253,632 and 535,556 is: 1,130,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,632 : 535,556 = 535,556 : x
  2. Step 2: Convert to fraction form
    253,632/535,556 = 535,556/x
  3. Step 3: Cross multiply
    253,632x = 535,556 × 535,556
  4. Step 4: Simplify right side
    253,632x = 286,820,229,136
  5. Step 5: Solve for x
    x = 286,820,229,136/253,632
  6. Step 6: Final answer
    x = 1,130,851.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.