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Finding the Third Proportional to 426,476.50 and 912,002

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Solution

The third proportional to 426,476.50 and 912,002 is: 1,950,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,476.50 : 912,002 = 912,002 : x
  2. Step 2: Convert to fraction form
    426,476.50/912,002 = 912,002/x
  3. Step 3: Cross multiply
    426,476.50x = 912,002 × 912,002
  4. Step 4: Simplify right side
    426,476.50x = 831,747,648,004
  5. Step 5: Solve for x
    x = 831,747,648,004/426,476.50
  6. Step 6: Final answer
    x = 1,950,277.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.