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Finding the Third Proportional to 309,076 and 662,510

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Solution

The third proportional to 309,076 and 662,510 is: 1,420,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,076 : 662,510 = 662,510 : x
  2. Step 2: Convert to fraction form
    309,076/662,510 = 662,510/x
  3. Step 3: Cross multiply
    309,076x = 662,510 × 662,510
  4. Step 4: Simplify right side
    309,076x = 438,919,500,100
  5. Step 5: Solve for x
    x = 438,919,500,100/309,076
  6. Step 6: Final answer
    x = 1,420,102.18

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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.