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Finding the Third Proportional to 213,708 and 457,062

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Solution

The third proportional to 213,708 and 457,062 is: 977,528.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,708 : 457,062 = 457,062 : x
  2. Step 2: Convert to fraction form
    213,708/457,062 = 457,062/x
  3. Step 3: Cross multiply
    213,708x = 457,062 × 457,062
  4. Step 4: Simplify right side
    213,708x = 208,905,671,844
  5. Step 5: Solve for x
    x = 208,905,671,844/213,708
  6. Step 6: Final answer
    x = 977,528.55

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