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Finding the Third Proportional to 346,912 and 756,696

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Solution

The third proportional to 346,912 and 756,696 is: 1,650,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,912 : 756,696 = 756,696 : x
  2. Step 2: Convert to fraction form
    346,912/756,696 = 756,696/x
  3. Step 3: Cross multiply
    346,912x = 756,696 × 756,696
  4. Step 4: Simplify right side
    346,912x = 572,588,836,416
  5. Step 5: Solve for x
    x = 572,588,836,416/346,912
  6. Step 6: Final answer
    x = 1,650,530.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.