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Finding the Third Proportional to 283,822.88 and 473,018.63

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Solution

The third proportional to 283,822.88 and 473,018.63 is: 788,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,822.88 : 473,018.63 = 473,018.63 : x
  2. Step 2: Convert to fraction form
    283,822.88/473,018.63 = 473,018.63/x
  3. Step 3: Cross multiply
    283,822.88x = 473,018.63 × 473,018.63
  4. Step 4: Simplify right side
    283,822.88x = 223,746,619,596.89
  5. Step 5: Solve for x
    x = 223,746,619,596.89/283,822.88
  6. Step 6: Final answer
    x = 788,331.88

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.