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Finding the Third Proportional to 362,610 and 509,733

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Solution

The third proportional to 362,610 and 509,733 is: 716,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,610 : 509,733 = 509,733 : x
  2. Step 2: Convert to fraction form
    362,610/509,733 = 509,733/x
  3. Step 3: Cross multiply
    362,610x = 509,733 × 509,733
  4. Step 4: Simplify right side
    362,610x = 259,827,731,289
  5. Step 5: Solve for x
    x = 259,827,731,289/362,610
  6. Step 6: Final answer
    x = 716,548.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.