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Finding the Third Proportional to 466,932 and 713,952

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Solution

The third proportional to 466,932 and 713,952 is: 1,091,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,932 : 713,952 = 713,952 : x
  2. Step 2: Convert to fraction form
    466,932/713,952 = 713,952/x
  3. Step 3: Cross multiply
    466,932x = 713,952 × 713,952
  4. Step 4: Simplify right side
    466,932x = 509,727,458,304
  5. Step 5: Solve for x
    x = 509,727,458,304/466,932
  6. Step 6: Final answer
    x = 1,091,652.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.