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Finding the Third Proportional to 346,764 and 756,168

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Solution

The third proportional to 346,764 and 756,168 is: 1,648,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,764 : 756,168 = 756,168 : x
  2. Step 2: Convert to fraction form
    346,764/756,168 = 756,168/x
  3. Step 3: Cross multiply
    346,764x = 756,168 × 756,168
  4. Step 4: Simplify right side
    346,764x = 571,790,044,224
  5. Step 5: Solve for x
    x = 571,790,044,224/346,764
  6. Step 6: Final answer
    x = 1,648,931.39

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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.