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Finding the Third Proportional to 416,007 and 594,486

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Solution

The third proportional to 416,007 and 594,486 is: 849,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,007 : 594,486 = 594,486 : x
  2. Step 2: Convert to fraction form
    416,007/594,486 = 594,486/x
  3. Step 3: Cross multiply
    416,007x = 594,486 × 594,486
  4. Step 4: Simplify right side
    416,007x = 353,413,604,196
  5. Step 5: Solve for x
    x = 353,413,604,196/416,007
  6. Step 6: Final answer
    x = 849,537.64

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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.