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Finding the Third Proportional to 208,510.88 and 457,617.94

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Solution

The third proportional to 208,510.88 and 457,617.94 is: 1,004,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,510.88 : 457,617.94 = 457,617.94 : x
  2. Step 2: Convert to fraction form
    208,510.88/457,617.94 = 457,617.94/x
  3. Step 3: Cross multiply
    208,510.88x = 457,617.94 × 457,617.94
  4. Step 4: Simplify right side
    208,510.88x = 209,414,176,721.75
  5. Step 5: Solve for x
    x = 209,414,176,721.75/208,510.88
  6. Step 6: Final answer
    x = 1,004,332.16

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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.