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Finding the Third Proportional to 213,332 and 470,952

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Solution

The third proportional to 213,332 and 470,952 is: 1,039,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,332 : 470,952 = 470,952 : x
  2. Step 2: Convert to fraction form
    213,332/470,952 = 470,952/x
  3. Step 3: Cross multiply
    213,332x = 470,952 × 470,952
  4. Step 4: Simplify right side
    213,332x = 221,795,786,304
  5. Step 5: Solve for x
    x = 221,795,786,304/213,332
  6. Step 6: Final answer
    x = 1,039,674.25

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.