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Finding the Third Proportional to 343,381 and 525,281

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Solution

The third proportional to 343,381 and 525,281 is: 803,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,381 : 525,281 = 525,281 : x
  2. Step 2: Convert to fraction form
    343,381/525,281 = 525,281/x
  3. Step 3: Cross multiply
    343,381x = 525,281 × 525,281
  4. Step 4: Simplify right side
    343,381x = 275,920,128,961
  5. Step 5: Solve for x
    x = 275,920,128,961/343,381
  6. Step 6: Final answer
    x = 803,539.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.