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Finding the Third Proportional to 208,548 and 457,702.50

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Solution

The third proportional to 208,548 and 457,702.50 is: 1,004,524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,548 : 457,702.50 = 457,702.50 : x
  2. Step 2: Convert to fraction form
    208,548/457,702.50 = 457,702.50/x
  3. Step 3: Cross multiply
    208,548x = 457,702.50 × 457,702.50
  4. Step 4: Simplify right side
    208,548x = 209,491,578,506.25
  5. Step 5: Solve for x
    x = 209,491,578,506.25/208,548
  6. Step 6: Final answer
    x = 1,004,524.51

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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.