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Finding the Third Proportional to 187,929 and 409,775.63

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Solution

The third proportional to 187,929 and 409,775.63 is: 893,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,929 : 409,775.63 = 409,775.63 : x
  2. Step 2: Convert to fraction form
    187,929/409,775.63 = 409,775.63/x
  3. Step 3: Cross multiply
    187,929x = 409,775.63 × 409,775.63
  4. Step 4: Simplify right side
    187,929x = 167,916,062,844.14
  5. Step 5: Solve for x
    x = 167,916,062,844.14/187,929
  6. Step 6: Final answer
    x = 893,507.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.