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Finding the Third Proportional to 296,441 and 458,540

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Solution

The third proportional to 296,441 and 458,540 is: 709,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,441 : 458,540 = 458,540 : x
  2. Step 2: Convert to fraction form
    296,441/458,540 = 458,540/x
  3. Step 3: Cross multiply
    296,441x = 458,540 × 458,540
  4. Step 4: Simplify right side
    296,441x = 210,258,931,600
  5. Step 5: Solve for x
    x = 210,258,931,600/296,441
  6. Step 6: Final answer
    x = 709,277.50

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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.