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Finding the Third Proportional to 310,107 and 466,969.50

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Solution

The third proportional to 310,107 and 466,969.50 is: 703,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,107 : 466,969.50 = 466,969.50 : x
  2. Step 2: Convert to fraction form
    310,107/466,969.50 = 466,969.50/x
  3. Step 3: Cross multiply
    310,107x = 466,969.50 × 466,969.50
  4. Step 4: Simplify right side
    310,107x = 218,060,513,930.25
  5. Step 5: Solve for x
    x = 218,060,513,930.25/310,107
  6. Step 6: Final answer
    x = 703,178.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.