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Finding the Third Proportional to 364,798 and 545,736

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Solution

The third proportional to 364,798 and 545,736 is: 816,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,798 : 545,736 = 545,736 : x
  2. Step 2: Convert to fraction form
    364,798/545,736 = 545,736/x
  3. Step 3: Cross multiply
    364,798x = 545,736 × 545,736
  4. Step 4: Simplify right side
    364,798x = 297,827,781,696
  5. Step 5: Solve for x
    x = 297,827,781,696/364,798
  6. Step 6: Final answer
    x = 816,418.35

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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.