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Finding the Third Proportional to 310,320 and 669,625.50

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Solution

The third proportional to 310,320 and 669,625.50 is: 1,444,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,320 : 669,625.50 = 669,625.50 : x
  2. Step 2: Convert to fraction form
    310,320/669,625.50 = 669,625.50/x
  3. Step 3: Cross multiply
    310,320x = 669,625.50 × 669,625.50
  4. Step 4: Simplify right side
    310,320x = 448,398,310,250.25
  5. Step 5: Solve for x
    x = 448,398,310,250.25/310,320
  6. Step 6: Final answer
    x = 1,444,954.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.