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Finding the Third Proportional to 296,536 and 458,988

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Solution

The third proportional to 296,536 and 458,988 is: 710,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,536 : 458,988 = 458,988 : x
  2. Step 2: Convert to fraction form
    296,536/458,988 = 458,988/x
  3. Step 3: Cross multiply
    296,536x = 458,988 × 458,988
  4. Step 4: Simplify right side
    296,536x = 210,669,984,144
  5. Step 5: Solve for x
    x = 210,669,984,144/296,536
  6. Step 6: Final answer
    x = 710,436.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.