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Finding the Third Proportional to 502,767 and 778,815

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Solution

The third proportional to 502,767 and 778,815 is: 1,206,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,767 : 778,815 = 778,815 : x
  2. Step 2: Convert to fraction form
    502,767/778,815 = 778,815/x
  3. Step 3: Cross multiply
    502,767x = 778,815 × 778,815
  4. Step 4: Simplify right side
    502,767x = 606,552,804,225
  5. Step 5: Solve for x
    x = 606,552,804,225/502,767
  6. Step 6: Final answer
    x = 1,206,429.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.