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Finding the Third Proportional to 214,402 and 457,276

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Solution

The third proportional to 214,402 and 457,276 is: 975,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,402 : 457,276 = 457,276 : x
  2. Step 2: Convert to fraction form
    214,402/457,276 = 457,276/x
  3. Step 3: Cross multiply
    214,402x = 457,276 × 457,276
  4. Step 4: Simplify right side
    214,402x = 209,101,340,176
  5. Step 5: Solve for x
    x = 209,101,340,176/214,402
  6. Step 6: Final answer
    x = 975,277.00

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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.