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Finding the Third Proportional to 343,441 and 525,360

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Solution

The third proportional to 343,441 and 525,360 is: 803,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,441 : 525,360 = 525,360 : x
  2. Step 2: Convert to fraction form
    343,441/525,360 = 525,360/x
  3. Step 3: Cross multiply
    343,441x = 525,360 × 525,360
  4. Step 4: Simplify right side
    343,441x = 276,003,129,600
  5. Step 5: Solve for x
    x = 276,003,129,600/343,441
  6. Step 6: Final answer
    x = 803,640.60

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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.