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Finding the Third Proportional to 310,095 and 657,085.50

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Solution

The third proportional to 310,095 and 657,085.50 is: 1,392,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,095 : 657,085.50 = 657,085.50 : x
  2. Step 2: Convert to fraction form
    310,095/657,085.50 = 657,085.50/x
  3. Step 3: Cross multiply
    310,095x = 657,085.50 × 657,085.50
  4. Step 4: Simplify right side
    310,095x = 431,761,354,310.25
  5. Step 5: Solve for x
    x = 431,761,354,310.25/310,095
  6. Step 6: Final answer
    x = 1,392,351.87

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.