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Finding the Third Proportional to 586,318.50 and 880,885.13

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Solution

The third proportional to 586,318.50 and 880,885.13 is: 1,323,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,318.50 : 880,885.13 = 880,885.13 : x
  2. Step 2: Convert to fraction form
    586,318.50/880,885.13 = 880,885.13/x
  3. Step 3: Cross multiply
    586,318.50x = 880,885.13 × 880,885.13
  4. Step 4: Simplify right side
    586,318.50x = 775,958,603,446.27
  5. Step 5: Solve for x
    x = 775,958,603,446.27/586,318.50
  6. Step 6: Final answer
    x = 1,323,442.13

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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.