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Finding the Third Proportional to 635,283 and 931,737.94

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Solution

The third proportional to 635,283 and 931,737.94 is: 1,366,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,283 : 931,737.94 = 931,737.94 : x
  2. Step 2: Convert to fraction form
    635,283/931,737.94 = 931,737.94/x
  3. Step 3: Cross multiply
    635,283x = 931,737.94 × 931,737.94
  4. Step 4: Simplify right side
    635,283x = 868,135,584,176.75
  5. Step 5: Solve for x
    x = 868,135,584,176.75/635,283
  6. Step 6: Final answer
    x = 1,366,533.63

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Why These Related Problems?

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