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Finding the Third Proportional to 585,087.75 and 928,364.63

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Solution

The third proportional to 585,087.75 and 928,364.63 is: 1,473,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,087.75 : 928,364.63 = 928,364.63 : x
  2. Step 2: Convert to fraction form
    585,087.75/928,364.63 = 928,364.63/x
  3. Step 3: Cross multiply
    585,087.75x = 928,364.63 × 928,364.63
  4. Step 4: Simplify right side
    585,087.75x = 861,860,876,951.39
  5. Step 5: Solve for x
    x = 861,860,876,951.39/585,087.75
  6. Step 6: Final answer
    x = 1,473,045.50

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