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Finding the Third Proportional to 415,216.50 and 650,502

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Solution

The third proportional to 415,216.50 and 650,502 is: 1,019,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,216.50 : 650,502 = 650,502 : x
  2. Step 2: Convert to fraction form
    415,216.50/650,502 = 650,502/x
  3. Step 3: Cross multiply
    415,216.50x = 650,502 × 650,502
  4. Step 4: Simplify right side
    415,216.50x = 423,152,852,004
  5. Step 5: Solve for x
    x = 423,152,852,004/415,216.50
  6. Step 6: Final answer
    x = 1,019,113.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.