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Finding the Third Proportional to 320,004 and 495,612

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Solution

The third proportional to 320,004 and 495,612 is: 767,588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,004 : 495,612 = 495,612 : x
  2. Step 2: Convert to fraction form
    320,004/495,612 = 495,612/x
  3. Step 3: Cross multiply
    320,004x = 495,612 × 495,612
  4. Step 4: Simplify right side
    320,004x = 245,631,254,544
  5. Step 5: Solve for x
    x = 245,631,254,544/320,004
  6. Step 6: Final answer
    x = 767,588.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.