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Finding the Third Proportional to 362,564 and 546,044

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Solution

The third proportional to 362,564 and 546,044 is: 822,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,564 : 546,044 = 546,044 : x
  2. Step 2: Convert to fraction form
    362,564/546,044 = 546,044/x
  3. Step 3: Cross multiply
    362,564x = 546,044 × 546,044
  4. Step 4: Simplify right side
    362,564x = 298,164,049,936
  5. Step 5: Solve for x
    x = 298,164,049,936/362,564
  6. Step 6: Final answer
    x = 822,376.33

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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.