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Finding the Third Proportional to 402,364 and 873,952

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Solution

The third proportional to 402,364 and 873,952 is: 1,898,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,364 : 873,952 = 873,952 : x
  2. Step 2: Convert to fraction form
    402,364/873,952 = 873,952/x
  3. Step 3: Cross multiply
    402,364x = 873,952 × 873,952
  4. Step 4: Simplify right side
    402,364x = 763,792,098,304
  5. Step 5: Solve for x
    x = 763,792,098,304/402,364
  6. Step 6: Final answer
    x = 1,898,261.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.