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Finding the Third Proportional to 583,070 and 876,405

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Solution

The third proportional to 583,070 and 876,405 is: 1,317,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,070 : 876,405 = 876,405 : x
  2. Step 2: Convert to fraction form
    583,070/876,405 = 876,405/x
  3. Step 3: Cross multiply
    583,070x = 876,405 × 876,405
  4. Step 4: Simplify right side
    583,070x = 768,085,724,025
  5. Step 5: Solve for x
    x = 768,085,724,025/583,070
  6. Step 6: Final answer
    x = 1,317,313.06

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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.