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Finding the Third Proportional to 550,512 and 804,528

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Solution

The third proportional to 550,512 and 804,528 is: 1,175,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,512 : 804,528 = 804,528 : x
  2. Step 2: Convert to fraction form
    550,512/804,528 = 804,528/x
  3. Step 3: Cross multiply
    550,512x = 804,528 × 804,528
  4. Step 4: Simplify right side
    550,512x = 647,265,302,784
  5. Step 5: Solve for x
    x = 647,265,302,784/550,512
  6. Step 6: Final answer
    x = 1,175,751.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.