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Finding the Third Proportional to 310,560 and 665,440

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Solution

The third proportional to 310,560 and 665,440 is: 1,425,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,560 : 665,440 = 665,440 : x
  2. Step 2: Convert to fraction form
    310,560/665,440 = 665,440/x
  3. Step 3: Cross multiply
    310,560x = 665,440 × 665,440
  4. Step 4: Simplify right side
    310,560x = 442,810,393,600
  5. Step 5: Solve for x
    x = 442,810,393,600/310,560
  6. Step 6: Final answer
    x = 1,425,844.90

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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.