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Finding the Third Proportional to 460,912 and 619,944

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Solution

The third proportional to 460,912 and 619,944 is: 833,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,912 : 619,944 = 619,944 : x
  2. Step 2: Convert to fraction form
    460,912/619,944 = 619,944/x
  3. Step 3: Cross multiply
    460,912x = 619,944 × 619,944
  4. Step 4: Simplify right side
    460,912x = 384,330,563,136
  5. Step 5: Solve for x
    x = 384,330,563,136/460,912
  6. Step 6: Final answer
    x = 833,848.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.