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Finding the Third Proportional to 216,036.75 and 473,399.25

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Solution

The third proportional to 216,036.75 and 473,399.25 is: 1,037,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,036.75 : 473,399.25 = 473,399.25 : x
  2. Step 2: Convert to fraction form
    216,036.75/473,399.25 = 473,399.25/x
  3. Step 3: Cross multiply
    216,036.75x = 473,399.25 × 473,399.25
  4. Step 4: Simplify right side
    216,036.75x = 224,106,849,900.56
  5. Step 5: Solve for x
    x = 224,106,849,900.56/216,036.75
  6. Step 6: Final answer
    x = 1,037,355.22

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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.