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Finding the Third Proportional to 310,905 and 464,433

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Solution

The third proportional to 310,905 and 464,433 is: 693,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,905 : 464,433 = 464,433 : x
  2. Step 2: Convert to fraction form
    310,905/464,433 = 464,433/x
  3. Step 3: Cross multiply
    310,905x = 464,433 × 464,433
  4. Step 4: Simplify right side
    310,905x = 215,698,011,489
  5. Step 5: Solve for x
    x = 215,698,011,489/310,905
  6. Step 6: Final answer
    x = 693,774.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.