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Finding the Third Proportional to 310,837.50 and 464,337

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Solution

The third proportional to 310,837.50 and 464,337 is: 693,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,837.50 : 464,337 = 464,337 : x
  2. Step 2: Convert to fraction form
    310,837.50/464,337 = 464,337/x
  3. Step 3: Cross multiply
    310,837.50x = 464,337 × 464,337
  4. Step 4: Simplify right side
    310,837.50x = 215,608,849,569
  5. Step 5: Solve for x
    x = 215,608,849,569/310,837.50
  6. Step 6: Final answer
    x = 693,638.48

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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.