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Finding the Third Proportional to 296,064 and 634,432

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Solution

The third proportional to 296,064 and 634,432 is: 1,359,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,064 : 634,432 = 634,432 : x
  2. Step 2: Convert to fraction form
    296,064/634,432 = 634,432/x
  3. Step 3: Cross multiply
    296,064x = 634,432 × 634,432
  4. Step 4: Simplify right side
    296,064x = 402,503,962,624
  5. Step 5: Solve for x
    x = 402,503,962,624/296,064
  6. Step 6: Final answer
    x = 1,359,516.73

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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.