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Finding the Third Proportional to 501,222 and 767,709

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Solution

The third proportional to 501,222 and 767,709 is: 1,175,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,222 : 767,709 = 767,709 : x
  2. Step 2: Convert to fraction form
    501,222/767,709 = 767,709/x
  3. Step 3: Cross multiply
    501,222x = 767,709 × 767,709
  4. Step 4: Simplify right side
    501,222x = 589,377,108,681
  5. Step 5: Solve for x
    x = 589,377,108,681/501,222
  6. Step 6: Final answer
    x = 1,175,880.37

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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.