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Finding the Third Proportional to 514,696 and 780,792

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Solution

The third proportional to 514,696 and 780,792 is: 1,184,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,696 : 780,792 = 780,792 : x
  2. Step 2: Convert to fraction form
    514,696/780,792 = 780,792/x
  3. Step 3: Cross multiply
    514,696x = 780,792 × 780,792
  4. Step 4: Simplify right side
    514,696x = 609,636,147,264
  5. Step 5: Solve for x
    x = 609,636,147,264/514,696
  6. Step 6: Final answer
    x = 1,184,458.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.