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Finding the Third Proportional to 295,596 and 646,403

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Solution

The third proportional to 295,596 and 646,403 is: 1,413,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,596 : 646,403 = 646,403 : x
  2. Step 2: Convert to fraction form
    295,596/646,403 = 646,403/x
  3. Step 3: Cross multiply
    295,596x = 646,403 × 646,403
  4. Step 4: Simplify right side
    295,596x = 417,836,838,409
  5. Step 5: Solve for x
    x = 417,836,838,409/295,596
  6. Step 6: Final answer
    x = 1,413,540.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.