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Finding the Third Proportional to 557,486 and 849,333

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Solution

The third proportional to 557,486 and 849,333 is: 1,293,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,486 : 849,333 = 849,333 : x
  2. Step 2: Convert to fraction form
    557,486/849,333 = 849,333/x
  3. Step 3: Cross multiply
    557,486x = 849,333 × 849,333
  4. Step 4: Simplify right side
    557,486x = 721,366,544,889
  5. Step 5: Solve for x
    x = 721,366,544,889/557,486
  6. Step 6: Final answer
    x = 1,293,963.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.