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Finding the Third Proportional to 299,092.50 and 459,728.16

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Solution

The third proportional to 299,092.50 and 459,728.16 is: 706,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,092.50 : 459,728.16 = 459,728.16 : x
  2. Step 2: Convert to fraction form
    299,092.50/459,728.16 = 459,728.16/x
  3. Step 3: Cross multiply
    299,092.50x = 459,728.16 × 459,728.16
  4. Step 4: Simplify right side
    299,092.50x = 211,349,977,649.02
  5. Step 5: Solve for x
    x = 211,349,977,649.02/299,092.50
  6. Step 6: Final answer
    x = 706,637.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.