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Finding the Third Proportional to 216,256 and 473,968

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Solution

The third proportional to 216,256 and 473,968 is: 1,038,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,256 : 473,968 = 473,968 : x
  2. Step 2: Convert to fraction form
    216,256/473,968 = 473,968/x
  3. Step 3: Cross multiply
    216,256x = 473,968 × 473,968
  4. Step 4: Simplify right side
    216,256x = 224,645,665,024
  5. Step 5: Solve for x
    x = 224,645,665,024/216,256
  6. Step 6: Final answer
    x = 1,038,795.06

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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.