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Finding the Third Proportional to 583,459.50 and 1,207,416

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Solution

The third proportional to 583,459.50 and 1,207,416 is: 2,498,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,459.50 : 1,207,416 = 1,207,416 : x
  2. Step 2: Convert to fraction form
    583,459.50/1,207,416 = 1,207,416/x
  3. Step 3: Cross multiply
    583,459.50x = 1,207,416 × 1,207,416
  4. Step 4: Simplify right side
    583,459.50x = 1,457,853,397,056
  5. Step 5: Solve for x
    x = 1,457,853,397,056/583,459.50
  6. Step 6: Final answer
    x = 2,498,636.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.