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Finding the Third Proportional to 310,624.63 and 679,407.13

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Solution

The third proportional to 310,624.63 and 679,407.13 is: 1,486,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,624.63 : 679,407.13 = 679,407.13 : x
  2. Step 2: Convert to fraction form
    310,624.63/679,407.13 = 679,407.13/x
  3. Step 3: Cross multiply
    310,624.63x = 679,407.13 × 679,407.13
  4. Step 4: Simplify right side
    310,624.63x = 461,594,041,500.77
  5. Step 5: Solve for x
    x = 461,594,041,500.77/310,624.63
  6. Step 6: Final answer
    x = 1,486,018.83

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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.