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Finding the Third Proportional to 462,852 and 614,152.13

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Solution

The third proportional to 462,852 and 614,152.13 is: 814,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,852 : 614,152.13 = 614,152.13 : x
  2. Step 2: Convert to fraction form
    462,852/614,152.13 = 614,152.13/x
  3. Step 3: Cross multiply
    462,852x = 614,152.13 × 614,152.13
  4. Step 4: Simplify right side
    462,852x = 377,182,832,642.02
  5. Step 5: Solve for x
    x = 377,182,832,642.02/462,852
  6. Step 6: Final answer
    x = 814,910.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.