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Finding the Third Proportional to 214,537 and 462,798

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Solution

The third proportional to 214,537 and 462,798 is: 998,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,537 : 462,798 = 462,798 : x
  2. Step 2: Convert to fraction form
    214,537/462,798 = 462,798/x
  3. Step 3: Cross multiply
    214,537x = 462,798 × 462,798
  4. Step 4: Simplify right side
    214,537x = 214,181,988,804
  5. Step 5: Solve for x
    x = 214,181,988,804/214,537
  6. Step 6: Final answer
    x = 998,345.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.