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Finding the Third Proportional to 364,984 and 534,872

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Solution

The third proportional to 364,984 and 534,872 is: 783,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,984 : 534,872 = 534,872 : x
  2. Step 2: Convert to fraction form
    364,984/534,872 = 534,872/x
  3. Step 3: Cross multiply
    364,984x = 534,872 × 534,872
  4. Step 4: Simplify right side
    364,984x = 286,088,056,384
  5. Step 5: Solve for x
    x = 286,088,056,384/364,984
  6. Step 6: Final answer
    x = 783,837.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.