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Finding the Third Proportional to 353,396 and 525,294

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Solution

The third proportional to 353,396 and 525,294 is: 780,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,396 : 525,294 = 525,294 : x
  2. Step 2: Convert to fraction form
    353,396/525,294 = 525,294/x
  3. Step 3: Cross multiply
    353,396x = 525,294 × 525,294
  4. Step 4: Simplify right side
    353,396x = 275,933,786,436
  5. Step 5: Solve for x
    x = 275,933,786,436/353,396
  6. Step 6: Final answer
    x = 780,806.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.