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Finding the Third Proportional to 415,388 and 594,013

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Solution

The third proportional to 415,388 and 594,013 is: 849,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,388 : 594,013 = 594,013 : x
  2. Step 2: Convert to fraction form
    415,388/594,013 = 594,013/x
  3. Step 3: Cross multiply
    415,388x = 594,013 × 594,013
  4. Step 4: Simplify right side
    415,388x = 352,851,444,169
  5. Step 5: Solve for x
    x = 352,851,444,169/415,388
  6. Step 6: Final answer
    x = 849,450.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.