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Finding the Third Proportional to 435,360 and 638,136

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Solution

The third proportional to 435,360 and 638,136 is: 935,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,360 : 638,136 = 638,136 : x
  2. Step 2: Convert to fraction form
    435,360/638,136 = 638,136/x
  3. Step 3: Cross multiply
    435,360x = 638,136 × 638,136
  4. Step 4: Simplify right side
    435,360x = 407,217,554,496
  5. Step 5: Solve for x
    x = 407,217,554,496/435,360
  6. Step 6: Final answer
    x = 935,358.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.