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Finding the Third Proportional to 297,804 and 466,146

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Solution

The third proportional to 297,804 and 466,146 is: 729,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,804 : 466,146 = 466,146 : x
  2. Step 2: Convert to fraction form
    297,804/466,146 = 466,146/x
  3. Step 3: Cross multiply
    297,804x = 466,146 × 466,146
  4. Step 4: Simplify right side
    297,804x = 217,292,093,316
  5. Step 5: Solve for x
    x = 217,292,093,316/297,804
  6. Step 6: Final answer
    x = 729,648.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.