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Finding the Third Proportional to 258,513 and 546,833

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Solution

The third proportional to 258,513 and 546,833 is: 1,156,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,513 : 546,833 = 546,833 : x
  2. Step 2: Convert to fraction form
    258,513/546,833 = 546,833/x
  3. Step 3: Cross multiply
    258,513x = 546,833 × 546,833
  4. Step 4: Simplify right side
    258,513x = 299,026,329,889
  5. Step 5: Solve for x
    x = 299,026,329,889/258,513
  6. Step 6: Final answer
    x = 1,156,716.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.