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Finding the Third Proportional to 310,537.13 and 467,360.25

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Solution

The third proportional to 310,537.13 and 467,360.25 is: 703,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,537.13 : 467,360.25 = 467,360.25 : x
  2. Step 2: Convert to fraction form
    310,537.13/467,360.25 = 467,360.25/x
  3. Step 3: Cross multiply
    310,537.13x = 467,360.25 × 467,360.25
  4. Step 4: Simplify right side
    310,537.13x = 218,425,603,280.06
  5. Step 5: Solve for x
    x = 218,425,603,280.06/310,537.13
  6. Step 6: Final answer
    x = 703,380.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.