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Finding the Third Proportional to 310,020 and 735,135

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Solution

The third proportional to 310,020 and 735,135 is: 1,743,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,020 : 735,135 = 735,135 : x
  2. Step 2: Convert to fraction form
    310,020/735,135 = 735,135/x
  3. Step 3: Cross multiply
    310,020x = 735,135 × 735,135
  4. Step 4: Simplify right side
    310,020x = 540,423,468,225
  5. Step 5: Solve for x
    x = 540,423,468,225/310,020
  6. Step 6: Final answer
    x = 1,743,189.05

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.