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Finding the Third Proportional to 352,669 and 495,553

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Solution

The third proportional to 352,669 and 495,553 is: 696,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,669 : 495,553 = 495,553 : x
  2. Step 2: Convert to fraction form
    352,669/495,553 = 495,553/x
  3. Step 3: Cross multiply
    352,669x = 495,553 × 495,553
  4. Step 4: Simplify right side
    352,669x = 245,572,775,809
  5. Step 5: Solve for x
    x = 245,572,775,809/352,669
  6. Step 6: Final answer
    x = 696,326.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.