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Finding the Third Proportional to 404,160 and 634,056

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Solution

The third proportional to 404,160 and 634,056 is: 994,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,160 : 634,056 = 634,056 : x
  2. Step 2: Convert to fraction form
    404,160/634,056 = 634,056/x
  3. Step 3: Cross multiply
    404,160x = 634,056 × 634,056
  4. Step 4: Simplify right side
    404,160x = 402,027,011,136
  5. Step 5: Solve for x
    x = 402,027,011,136/404,160
  6. Step 6: Final answer
    x = 994,722.41

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