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Finding the Third Proportional to 525,554 and 801,454

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Solution

The third proportional to 525,554 and 801,454 is: 1,222,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,554 : 801,454 = 801,454 : x
  2. Step 2: Convert to fraction form
    525,554/801,454 = 801,454/x
  3. Step 3: Cross multiply
    525,554x = 801,454 × 801,454
  4. Step 4: Simplify right side
    525,554x = 642,328,514,116
  5. Step 5: Solve for x
    x = 642,328,514,116/525,554
  6. Step 6: Final answer
    x = 1,222,193.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.