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Finding the Third Proportional to 467,437 and 1,004,702.50

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Solution

The third proportional to 467,437 and 1,004,702.50 is: 2,159,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,437 : 1,004,702.50 = 1,004,702.50 : x
  2. Step 2: Convert to fraction form
    467,437/1,004,702.50 = 1,004,702.50/x
  3. Step 3: Cross multiply
    467,437x = 1,004,702.50 × 1,004,702.50
  4. Step 4: Simplify right side
    467,437x = 1,009,427,113,506.25
  5. Step 5: Solve for x
    x = 1,009,427,113,506.25/467,437
  6. Step 6: Final answer
    x = 2,159,493.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.