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Finding the Third Proportional to 309,546 and 466,804

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Solution

The third proportional to 309,546 and 466,804 is: 703,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,546 : 466,804 = 466,804 : x
  2. Step 2: Convert to fraction form
    309,546/466,804 = 466,804/x
  3. Step 3: Cross multiply
    309,546x = 466,804 × 466,804
  4. Step 4: Simplify right side
    309,546x = 217,905,974,416
  5. Step 5: Solve for x
    x = 217,905,974,416/309,546
  6. Step 6: Final answer
    x = 703,953.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.