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Finding the Third Proportional to 251,784 and 546,222

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Solution

The third proportional to 251,784 and 546,222 is: 1,184,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,784 : 546,222 = 546,222 : x
  2. Step 2: Convert to fraction form
    251,784/546,222 = 546,222/x
  3. Step 3: Cross multiply
    251,784x = 546,222 × 546,222
  4. Step 4: Simplify right side
    251,784x = 298,358,473,284
  5. Step 5: Solve for x
    x = 298,358,473,284/251,784
  6. Step 6: Final answer
    x = 1,184,977.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.