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Finding the Third Proportional to 355,248 and 756,504

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Solution

The third proportional to 355,248 and 756,504 is: 1,610,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,248 : 756,504 = 756,504 : x
  2. Step 2: Convert to fraction form
    355,248/756,504 = 756,504/x
  3. Step 3: Cross multiply
    355,248x = 756,504 × 756,504
  4. Step 4: Simplify right side
    355,248x = 572,298,302,016
  5. Step 5: Solve for x
    x = 572,298,302,016/355,248
  6. Step 6: Final answer
    x = 1,610,982.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.