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Finding the Third Proportional to 253,725 and 333,709

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Solution

The third proportional to 253,725 and 333,709 is: 438,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,725 : 333,709 = 333,709 : x
  2. Step 2: Convert to fraction form
    253,725/333,709 = 333,709/x
  3. Step 3: Cross multiply
    253,725x = 333,709 × 333,709
  4. Step 4: Simplify right side
    253,725x = 111,361,696,681
  5. Step 5: Solve for x
    x = 111,361,696,681/253,725
  6. Step 6: Final answer
    x = 438,907.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.