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Finding the Third Proportional to 319,580 and 684,048

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Solution

The third proportional to 319,580 and 684,048 is: 1,464,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,580 : 684,048 = 684,048 : x
  2. Step 2: Convert to fraction form
    319,580/684,048 = 684,048/x
  3. Step 3: Cross multiply
    319,580x = 684,048 × 684,048
  4. Step 4: Simplify right side
    319,580x = 467,921,666,304
  5. Step 5: Solve for x
    x = 467,921,666,304/319,580
  6. Step 6: Final answer
    x = 1,464,176.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.