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Finding the Third Proportional to 302,772 and 651,736

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Solution

The third proportional to 302,772 and 651,736 is: 1,402,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,772 : 651,736 = 651,736 : x
  2. Step 2: Convert to fraction form
    302,772/651,736 = 651,736/x
  3. Step 3: Cross multiply
    302,772x = 651,736 × 651,736
  4. Step 4: Simplify right side
    302,772x = 424,759,813,696
  5. Step 5: Solve for x
    x = 424,759,813,696/302,772
  6. Step 6: Final answer
    x = 1,402,903.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.