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Finding the Third Proportional to 293,664 and 625,737

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Solution

The third proportional to 293,664 and 625,737 is: 1,333,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,664 : 625,737 = 625,737 : x
  2. Step 2: Convert to fraction form
    293,664/625,737 = 625,737/x
  3. Step 3: Cross multiply
    293,664x = 625,737 × 625,737
  4. Step 4: Simplify right side
    293,664x = 391,546,793,169
  5. Step 5: Solve for x
    x = 391,546,793,169/293,664
  6. Step 6: Final answer
    x = 1,333,315.60

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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.