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Finding the Third Proportional to 600,394 and 912,976

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Solution

The third proportional to 600,394 and 912,976 is: 1,388,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,394 : 912,976 = 912,976 : x
  2. Step 2: Convert to fraction form
    600,394/912,976 = 912,976/x
  3. Step 3: Cross multiply
    600,394x = 912,976 × 912,976
  4. Step 4: Simplify right side
    600,394x = 833,525,176,576
  5. Step 5: Solve for x
    x = 833,525,176,576/600,394
  6. Step 6: Final answer
    x = 1,388,296.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.