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Finding the Third Proportional to 353,384 and 525,276

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Solution

The third proportional to 353,384 and 525,276 is: 780,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,384 : 525,276 = 525,276 : x
  2. Step 2: Convert to fraction form
    353,384/525,276 = 525,276/x
  3. Step 3: Cross multiply
    353,384x = 525,276 × 525,276
  4. Step 4: Simplify right side
    353,384x = 275,914,876,176
  5. Step 5: Solve for x
    x = 275,914,876,176/353,384
  6. Step 6: Final answer
    x = 780,779.20

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