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Finding the Third Proportional to 614,383 and 921,575

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Solution

The third proportional to 614,383 and 921,575 is: 1,382,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,383 : 921,575 = 921,575 : x
  2. Step 2: Convert to fraction form
    614,383/921,575 = 921,575/x
  3. Step 3: Cross multiply
    614,383x = 921,575 × 921,575
  4. Step 4: Simplify right side
    614,383x = 849,300,480,625
  5. Step 5: Solve for x
    x = 849,300,480,625/614,383
  6. Step 6: Final answer
    x = 1,382,363.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.