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Finding the Third Proportional to 634,374 and 864,057

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Solution

The third proportional to 634,374 and 864,057 is: 1,176,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,374 : 864,057 = 864,057 : x
  2. Step 2: Convert to fraction form
    634,374/864,057 = 864,057/x
  3. Step 3: Cross multiply
    634,374x = 864,057 × 864,057
  4. Step 4: Simplify right side
    634,374x = 746,594,499,249
  5. Step 5: Solve for x
    x = 746,594,499,249/634,374
  6. Step 6: Final answer
    x = 1,176,899.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.