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Finding the Third Proportional to 519,528 and 780,816

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Solution

The third proportional to 519,528 and 780,816 is: 1,173,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,528 : 780,816 = 780,816 : x
  2. Step 2: Convert to fraction form
    519,528/780,816 = 780,816/x
  3. Step 3: Cross multiply
    519,528x = 780,816 × 780,816
  4. Step 4: Simplify right side
    519,528x = 609,673,625,856
  5. Step 5: Solve for x
    x = 609,673,625,856/519,528
  6. Step 6: Final answer
    x = 1,173,514.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.