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Finding the Third Proportional to 343,224 and 525,048

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Solution

The third proportional to 343,224 and 525,048 is: 803,193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,224 : 525,048 = 525,048 : x
  2. Step 2: Convert to fraction form
    343,224/525,048 = 525,048/x
  3. Step 3: Cross multiply
    343,224x = 525,048 × 525,048
  4. Step 4: Simplify right side
    343,224x = 275,675,402,304
  5. Step 5: Solve for x
    x = 275,675,402,304/343,224
  6. Step 6: Final answer
    x = 803,193.84

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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.