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Finding the Third Proportional to 216,968 and 457,264

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Solution

The third proportional to 216,968 and 457,264 is: 963,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,968 : 457,264 = 457,264 : x
  2. Step 2: Convert to fraction form
    216,968/457,264 = 457,264/x
  3. Step 3: Cross multiply
    216,968x = 457,264 × 457,264
  4. Step 4: Simplify right side
    216,968x = 209,090,365,696
  5. Step 5: Solve for x
    x = 209,090,365,696/216,968
  6. Step 6: Final answer
    x = 963,692.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.