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Finding the Third Proportional to 310,903.31 and 679,803.05

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Solution

The third proportional to 310,903.31 and 679,803.05 is: 1,486,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,903.31 : 679,803.05 = 679,803.05 : x
  2. Step 2: Convert to fraction form
    310,903.31/679,803.05 = 679,803.05/x
  3. Step 3: Cross multiply
    310,903.31x = 679,803.05 × 679,803.05
  4. Step 4: Simplify right side
    310,903.31x = 462,132,182,540.53
  5. Step 5: Solve for x
    x = 462,132,182,540.53/310,903.31
  6. Step 6: Final answer
    x = 1,486,417.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.