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Finding the Third Proportional to 296,352 and 447,084

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Solution

The third proportional to 296,352 and 447,084 is: 674,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,352 : 447,084 = 447,084 : x
  2. Step 2: Convert to fraction form
    296,352/447,084 = 447,084/x
  3. Step 3: Cross multiply
    296,352x = 447,084 × 447,084
  4. Step 4: Simplify right side
    296,352x = 199,884,103,056
  5. Step 5: Solve for x
    x = 199,884,103,056/296,352
  6. Step 6: Final answer
    x = 674,482.05

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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.