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Finding the Third Proportional to 296,534 and 458,985

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Solution

The third proportional to 296,534 and 458,985 is: 710,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,534 : 458,985 = 458,985 : x
  2. Step 2: Convert to fraction form
    296,534/458,985 = 458,985/x
  3. Step 3: Cross multiply
    296,534x = 458,985 × 458,985
  4. Step 4: Simplify right side
    296,534x = 210,667,230,225
  5. Step 5: Solve for x
    x = 210,667,230,225/296,534
  6. Step 6: Final answer
    x = 710,431.96

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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.