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Finding the Third Proportional to 544,026 and 816,513

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Solution

The third proportional to 544,026 and 816,513 is: 1,225,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,026 : 816,513 = 816,513 : x
  2. Step 2: Convert to fraction form
    544,026/816,513 = 816,513/x
  3. Step 3: Cross multiply
    544,026x = 816,513 × 816,513
  4. Step 4: Simplify right side
    544,026x = 666,693,479,169
  5. Step 5: Solve for x
    x = 666,693,479,169/544,026
  6. Step 6: Final answer
    x = 1,225,480.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.