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Finding the Third Proportional to 214,070 and 463,798

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Solution

The third proportional to 214,070 and 463,798 is: 1,004,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,070 : 463,798 = 463,798 : x
  2. Step 2: Convert to fraction form
    214,070/463,798 = 463,798/x
  3. Step 3: Cross multiply
    214,070x = 463,798 × 463,798
  4. Step 4: Simplify right side
    214,070x = 215,108,584,804
  5. Step 5: Solve for x
    x = 215,108,584,804/214,070
  6. Step 6: Final answer
    x = 1,004,851.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.