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Finding the Third Proportional to 213,492 and 459,972

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Solution

The third proportional to 213,492 and 459,972 is: 991,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,492 : 459,972 = 459,972 : x
  2. Step 2: Convert to fraction form
    213,492/459,972 = 459,972/x
  3. Step 3: Cross multiply
    213,492x = 459,972 × 459,972
  4. Step 4: Simplify right side
    213,492x = 211,574,240,784
  5. Step 5: Solve for x
    x = 211,574,240,784/213,492
  6. Step 6: Final answer
    x = 991,017.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.