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Finding the Third Proportional to 296,072 and 634,448

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Solution

The third proportional to 296,072 and 634,448 is: 1,359,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,072 : 634,448 = 634,448 : x
  2. Step 2: Convert to fraction form
    296,072/634,448 = 634,448/x
  3. Step 3: Cross multiply
    296,072x = 634,448 × 634,448
  4. Step 4: Simplify right side
    296,072x = 402,524,264,704
  5. Step 5: Solve for x
    x = 402,524,264,704/296,072
  6. Step 6: Final answer
    x = 1,359,548.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.