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Finding the Third Proportional to 216,984 and 328,536

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Solution

The third proportional to 216,984 and 328,536 is: 497,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,984 : 328,536 = 328,536 : x
  2. Step 2: Convert to fraction form
    216,984/328,536 = 328,536/x
  3. Step 3: Cross multiply
    216,984x = 328,536 × 328,536
  4. Step 4: Simplify right side
    216,984x = 107,935,903,296
  5. Step 5: Solve for x
    x = 107,935,903,296/216,984
  6. Step 6: Final answer
    x = 497,437.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.