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Finding the Third Proportional to 532,369.50 and 774,258

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Solution

The third proportional to 532,369.50 and 774,258 is: 1,126,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,369.50 : 774,258 = 774,258 : x
  2. Step 2: Convert to fraction form
    532,369.50/774,258 = 774,258/x
  3. Step 3: Cross multiply
    532,369.50x = 774,258 × 774,258
  4. Step 4: Simplify right side
    532,369.50x = 599,475,450,564
  5. Step 5: Solve for x
    x = 599,475,450,564/532,369.50
  6. Step 6: Final answer
    x = 1,126,051.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.