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Finding the Third Proportional to 355,207 and 546,823

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Solution

The third proportional to 355,207 and 546,823 is: 841,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,207 : 546,823 = 546,823 : x
  2. Step 2: Convert to fraction form
    355,207/546,823 = 546,823/x
  3. Step 3: Cross multiply
    355,207x = 546,823 × 546,823
  4. Step 4: Simplify right side
    355,207x = 299,015,393,329
  5. Step 5: Solve for x
    x = 299,015,393,329/355,207
  6. Step 6: Final answer
    x = 841,806.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.