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Finding the Third Proportional to 235,596 and 510,792

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Solution

The third proportional to 235,596 and 510,792 is: 1,107,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,596 : 510,792 = 510,792 : x
  2. Step 2: Convert to fraction form
    235,596/510,792 = 510,792/x
  3. Step 3: Cross multiply
    235,596x = 510,792 × 510,792
  4. Step 4: Simplify right side
    235,596x = 260,908,467,264
  5. Step 5: Solve for x
    x = 260,908,467,264/235,596
  6. Step 6: Final answer
    x = 1,107,440.14

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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.