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Finding the Third Proportional to 214,496 and 457,480

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Solution

The third proportional to 214,496 and 457,480 is: 975,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,496 : 457,480 = 457,480 : x
  2. Step 2: Convert to fraction form
    214,496/457,480 = 457,480/x
  3. Step 3: Cross multiply
    214,496x = 457,480 × 457,480
  4. Step 4: Simplify right side
    214,496x = 209,287,950,400
  5. Step 5: Solve for x
    x = 209,287,950,400/214,496
  6. Step 6: Final answer
    x = 975,719.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.