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Finding the Third Proportional to 604,930.50 and 822,051.50

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Solution

The third proportional to 604,930.50 and 822,051.50 is: 1,117,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,930.50 : 822,051.50 = 822,051.50 : x
  2. Step 2: Convert to fraction form
    604,930.50/822,051.50 = 822,051.50/x
  3. Step 3: Cross multiply
    604,930.50x = 822,051.50 × 822,051.50
  4. Step 4: Simplify right side
    604,930.50x = 675,768,668,652.25
  5. Step 5: Solve for x
    x = 675,768,668,652.25/604,930.50
  6. Step 6: Final answer
    x = 1,117,101.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.