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Finding the Third Proportional to 315,984 and 701,952

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Solution

The third proportional to 315,984 and 701,952 is: 1,559,372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,984 : 701,952 = 701,952 : x
  2. Step 2: Convert to fraction form
    315,984/701,952 = 701,952/x
  3. Step 3: Cross multiply
    315,984x = 701,952 × 701,952
  4. Step 4: Simplify right side
    315,984x = 492,736,610,304
  5. Step 5: Solve for x
    x = 492,736,610,304/315,984
  6. Step 6: Final answer
    x = 1,559,372.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.