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Finding the Third Proportional to 292,136 and 613,789

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Solution

The third proportional to 292,136 and 613,789 is: 1,289,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,136 : 613,789 = 613,789 : x
  2. Step 2: Convert to fraction form
    292,136/613,789 = 613,789/x
  3. Step 3: Cross multiply
    292,136x = 613,789 × 613,789
  4. Step 4: Simplify right side
    292,136x = 376,736,936,521
  5. Step 5: Solve for x
    x = 376,736,936,521/292,136
  6. Step 6: Final answer
    x = 1,289,594.36

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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.