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Finding the Third Proportional to 501,278 and 767,793

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Solution

The third proportional to 501,278 and 767,793 is: 1,176,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,278 : 767,793 = 767,793 : x
  2. Step 2: Convert to fraction form
    501,278/767,793 = 767,793/x
  3. Step 3: Cross multiply
    501,278x = 767,793 × 767,793
  4. Step 4: Simplify right side
    501,278x = 589,506,090,849
  5. Step 5: Solve for x
    x = 589,506,090,849/501,278
  6. Step 6: Final answer
    x = 1,176,006.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.