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Finding the Third Proportional to 468,420 and 973,639.50

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Solution

The third proportional to 468,420 and 973,639.50 is: 2,023,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,420 : 973,639.50 = 973,639.50 : x
  2. Step 2: Convert to fraction form
    468,420/973,639.50 = 973,639.50/x
  3. Step 3: Cross multiply
    468,420x = 973,639.50 × 973,639.50
  4. Step 4: Simplify right side
    468,420x = 947,973,875,960.25
  5. Step 5: Solve for x
    x = 947,973,875,960.25/468,420
  6. Step 6: Final answer
    x = 2,023,769.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.