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Finding the Third Proportional to 429,384 and 973,357.50

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Solution

The third proportional to 429,384 and 973,357.50 is: 2,206,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,384 : 973,357.50 = 973,357.50 : x
  2. Step 2: Convert to fraction form
    429,384/973,357.50 = 973,357.50/x
  3. Step 3: Cross multiply
    429,384x = 973,357.50 × 973,357.50
  4. Step 4: Simplify right side
    429,384x = 947,424,822,806.25
  5. Step 5: Solve for x
    x = 947,424,822,806.25/429,384
  6. Step 6: Final answer
    x = 2,206,474.44

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.