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Finding the Third Proportional to 292,148 and 613,814

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Solution

The third proportional to 292,148 and 613,814 is: 1,289,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,148 : 613,814 = 613,814 : x
  2. Step 2: Convert to fraction form
    292,148/613,814 = 613,814/x
  3. Step 3: Cross multiply
    292,148x = 613,814 × 613,814
  4. Step 4: Simplify right side
    292,148x = 376,767,626,596
  5. Step 5: Solve for x
    x = 376,767,626,596/292,148
  6. Step 6: Final answer
    x = 1,289,646.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.