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Finding the Third Proportional to 577,894.50 and 1,248,334.50

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Solution

The third proportional to 577,894.50 and 1,248,334.50 is: 2,696,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,894.50 : 1,248,334.50 = 1,248,334.50 : x
  2. Step 2: Convert to fraction form
    577,894.50/1,248,334.50 = 1,248,334.50/x
  3. Step 3: Cross multiply
    577,894.50x = 1,248,334.50 × 1,248,334.50
  4. Step 4: Simplify right side
    577,894.50x = 1,558,339,023,890.25
  5. Step 5: Solve for x
    x = 1,558,339,023,890.25/577,894.50
  6. Step 6: Final answer
    x = 2,696,580.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.