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Finding the Third Proportional to 501,394 and 767,980

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Solution

The third proportional to 501,394 and 767,980 is: 1,176,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,394 : 767,980 = 767,980 : x
  2. Step 2: Convert to fraction form
    501,394/767,980 = 767,980/x
  3. Step 3: Cross multiply
    501,394x = 767,980 × 767,980
  4. Step 4: Simplify right side
    501,394x = 589,793,280,400
  5. Step 5: Solve for x
    x = 589,793,280,400/501,394
  6. Step 6: Final answer
    x = 1,176,307.02

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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.