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Finding the Third Proportional to 308,511 and 466,044

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Solution

The third proportional to 308,511 and 466,044 is: 704,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,511 : 466,044 = 466,044 : x
  2. Step 2: Convert to fraction form
    308,511/466,044 = 466,044/x
  3. Step 3: Cross multiply
    308,511x = 466,044 × 466,044
  4. Step 4: Simplify right side
    308,511x = 217,197,009,936
  5. Step 5: Solve for x
    x = 217,197,009,936/308,511
  6. Step 6: Final answer
    x = 704,017.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.