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Finding the Third Proportional to 245,344.50 and 499,710.38

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Solution

The third proportional to 245,344.50 and 499,710.38 is: 1,017,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,344.50 : 499,710.38 = 499,710.38 : x
  2. Step 2: Convert to fraction form
    245,344.50/499,710.38 = 499,710.38/x
  3. Step 3: Cross multiply
    245,344.50x = 499,710.38 × 499,710.38
  4. Step 4: Simplify right side
    245,344.50x = 249,710,458,882.64
  5. Step 5: Solve for x
    x = 249,710,458,882.64/245,344.50
  6. Step 6: Final answer
    x = 1,017,795.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.