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Finding the Third Proportional to 299,089.88 and 459,721.50

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Solution

The third proportional to 299,089.88 and 459,721.50 is: 706,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,089.88 : 459,721.50 = 459,721.50 : x
  2. Step 2: Convert to fraction form
    299,089.88/459,721.50 = 459,721.50/x
  3. Step 3: Cross multiply
    299,089.88x = 459,721.50 × 459,721.50
  4. Step 4: Simplify right side
    299,089.88x = 211,343,857,562.25
  5. Step 5: Solve for x
    x = 211,343,857,562.25/299,089.88
  6. Step 6: Final answer
    x = 706,623.24

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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.