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Finding the Third Proportional to 341,604 and 749,736

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Solution

The third proportional to 341,604 and 749,736 is: 1,645,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,604 : 749,736 = 749,736 : x
  2. Step 2: Convert to fraction form
    341,604/749,736 = 749,736/x
  3. Step 3: Cross multiply
    341,604x = 749,736 × 749,736
  4. Step 4: Simplify right side
    341,604x = 562,104,069,696
  5. Step 5: Solve for x
    x = 562,104,069,696/341,604
  6. Step 6: Final answer
    x = 1,645,484.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.