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Finding the Third Proportional to 306,971 and 645,753

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Solution

The third proportional to 306,971 and 645,753 is: 1,358,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,971 : 645,753 = 645,753 : x
  2. Step 2: Convert to fraction form
    306,971/645,753 = 645,753/x
  3. Step 3: Cross multiply
    306,971x = 645,753 × 645,753
  4. Step 4: Simplify right side
    306,971x = 416,996,937,009
  5. Step 5: Solve for x
    x = 416,996,937,009/306,971
  6. Step 6: Final answer
    x = 1,358,424.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.