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Finding the Third Proportional to 594,641.88 and 905,904.95

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Solution

The third proportional to 594,641.88 and 905,904.95 is: 1,380,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,641.88 : 905,904.95 = 905,904.95 : x
  2. Step 2: Convert to fraction form
    594,641.88/905,904.95 = 905,904.95/x
  3. Step 3: Cross multiply
    594,641.88x = 905,904.95 × 905,904.95
  4. Step 4: Simplify right side
    594,641.88x = 820,663,777,019.03
  5. Step 5: Solve for x
    x = 820,663,777,019.03/594,641.88
  6. Step 6: Final answer
    x = 1,380,097.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.