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Finding the Third Proportional to 233,560 and 510,740

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Solution

The third proportional to 233,560 and 510,740 is: 1,116,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,560 : 510,740 = 510,740 : x
  2. Step 2: Convert to fraction form
    233,560/510,740 = 510,740/x
  3. Step 3: Cross multiply
    233,560x = 510,740 × 510,740
  4. Step 4: Simplify right side
    233,560x = 260,855,347,600
  5. Step 5: Solve for x
    x = 260,855,347,600/233,560
  6. Step 6: Final answer
    x = 1,116,866.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.