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Finding the Third Proportional to 210,342 and 454,596

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Solution

The third proportional to 210,342 and 454,596 is: 982,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,342 : 454,596 = 454,596 : x
  2. Step 2: Convert to fraction form
    210,342/454,596 = 454,596/x
  3. Step 3: Cross multiply
    210,342x = 454,596 × 454,596
  4. Step 4: Simplify right side
    210,342x = 206,657,523,216
  5. Step 5: Solve for x
    x = 206,657,523,216/210,342
  6. Step 6: Final answer
    x = 982,483.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.