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Finding the Third Proportional to 343,472 and 525,448

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Solution

The third proportional to 343,472 and 525,448 is: 803,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,472 : 525,448 = 525,448 : x
  2. Step 2: Convert to fraction form
    343,472/525,448 = 525,448/x
  3. Step 3: Cross multiply
    343,472x = 525,448 × 525,448
  4. Step 4: Simplify right side
    343,472x = 276,095,600,704
  5. Step 5: Solve for x
    x = 276,095,600,704/343,472
  6. Step 6: Final answer
    x = 803,837.29

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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.