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Finding the Third Proportional to 415,384 and 594,007

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Solution

The third proportional to 415,384 and 594,007 is: 849,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,384 : 594,007 = 594,007 : x
  2. Step 2: Convert to fraction form
    415,384/594,007 = 594,007/x
  3. Step 3: Cross multiply
    415,384x = 594,007 × 594,007
  4. Step 4: Simplify right side
    415,384x = 352,844,316,049
  5. Step 5: Solve for x
    x = 352,844,316,049/415,384
  6. Step 6: Final answer
    x = 849,441.28

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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.