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Finding the Third Proportional to 233,812.50 and 506,973

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Solution

The third proportional to 233,812.50 and 506,973 is: 1,099,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,812.50 : 506,973 = 506,973 : x
  2. Step 2: Convert to fraction form
    233,812.50/506,973 = 506,973/x
  3. Step 3: Cross multiply
    233,812.50x = 506,973 × 506,973
  4. Step 4: Simplify right side
    233,812.50x = 257,021,622,729
  5. Step 5: Solve for x
    x = 257,021,622,729/233,812.50
  6. Step 6: Final answer
    x = 1,099,263.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.