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Finding the Third Proportional to 408,030.75 and 573,577.88

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Solution

The third proportional to 408,030.75 and 573,577.88 is: 806,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,030.75 : 573,577.88 = 573,577.88 : x
  2. Step 2: Convert to fraction form
    408,030.75/573,577.88 = 573,577.88/x
  3. Step 3: Cross multiply
    408,030.75x = 573,577.88 × 573,577.88
  4. Step 4: Simplify right side
    408,030.75x = 328,991,578,689.52
  5. Step 5: Solve for x
    x = 328,991,578,689.52/408,030.75
  6. Step 6: Final answer
    x = 806,291.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.