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Finding the Third Proportional to 310,074 and 465,114

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Solution

The third proportional to 310,074 and 465,114 is: 697,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,074 : 465,114 = 465,114 : x
  2. Step 2: Convert to fraction form
    310,074/465,114 = 465,114/x
  3. Step 3: Cross multiply
    310,074x = 465,114 × 465,114
  4. Step 4: Simplify right side
    310,074x = 216,331,032,996
  5. Step 5: Solve for x
    x = 216,331,032,996/310,074
  6. Step 6: Final answer
    x = 697,675.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.