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Finding the Third Proportional to 500,735 and 763,715

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Solution

The third proportional to 500,735 and 763,715 is: 1,164,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,735 : 763,715 = 763,715 : x
  2. Step 2: Convert to fraction form
    500,735/763,715 = 763,715/x
  3. Step 3: Cross multiply
    500,735x = 763,715 × 763,715
  4. Step 4: Simplify right side
    500,735x = 583,260,601,225
  5. Step 5: Solve for x
    x = 583,260,601,225/500,735
  6. Step 6: Final answer
    x = 1,164,808.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.