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Finding the Third Proportional to 411,132 and 616,710

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Solution

The third proportional to 411,132 and 616,710 is: 925,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,132 : 616,710 = 616,710 : x
  2. Step 2: Convert to fraction form
    411,132/616,710 = 616,710/x
  3. Step 3: Cross multiply
    411,132x = 616,710 × 616,710
  4. Step 4: Simplify right side
    411,132x = 380,331,224,100
  5. Step 5: Solve for x
    x = 380,331,224,100/411,132
  6. Step 6: Final answer
    x = 925,083.00

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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.