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Finding the Third Proportional to 358,656 and 757,248

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Solution

The third proportional to 358,656 and 757,248 is: 1,598,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,656 : 757,248 = 757,248 : x
  2. Step 2: Convert to fraction form
    358,656/757,248 = 757,248/x
  3. Step 3: Cross multiply
    358,656x = 757,248 × 757,248
  4. Step 4: Simplify right side
    358,656x = 573,424,533,504
  5. Step 5: Solve for x
    x = 573,424,533,504/358,656
  6. Step 6: Final answer
    x = 1,598,814.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.