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Finding the Third Proportional to 311,796 and 456,030

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Solution

The third proportional to 311,796 and 456,030 is: 666,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,796 : 456,030 = 456,030 : x
  2. Step 2: Convert to fraction form
    311,796/456,030 = 456,030/x
  3. Step 3: Cross multiply
    311,796x = 456,030 × 456,030
  4. Step 4: Simplify right side
    311,796x = 207,963,360,900
  5. Step 5: Solve for x
    x = 207,963,360,900/311,796
  6. Step 6: Final answer
    x = 666,985.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.