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Finding the Third Proportional to 233,042 and 404,562

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Solution

The third proportional to 233,042 and 404,562 is: 702,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,042 : 404,562 = 404,562 : x
  2. Step 2: Convert to fraction form
    233,042/404,562 = 404,562/x
  3. Step 3: Cross multiply
    233,042x = 404,562 × 404,562
  4. Step 4: Simplify right side
    233,042x = 163,670,411,844
  5. Step 5: Solve for x
    x = 163,670,411,844/233,042
  6. Step 6: Final answer
    x = 702,321.52

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.