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Finding the Third Proportional to 588,776.63 and 933,830.63

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Solution

The third proportional to 588,776.63 and 933,830.63 is: 1,481,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,776.63 : 933,830.63 = 933,830.63 : x
  2. Step 2: Convert to fraction form
    588,776.63/933,830.63 = 933,830.63/x
  3. Step 3: Cross multiply
    588,776.63x = 933,830.63 × 933,830.63
  4. Step 4: Simplify right side
    588,776.63x = 872,039,636,187.89
  5. Step 5: Solve for x
    x = 872,039,636,187.89/588,776.63
  6. Step 6: Final answer
    x = 1,481,104.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.