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Finding the Third Proportional to 559,411.50 and 1,207,275

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Solution

The third proportional to 559,411.50 and 1,207,275 is: 2,605,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,411.50 : 1,207,275 = 1,207,275 : x
  2. Step 2: Convert to fraction form
    559,411.50/1,207,275 = 1,207,275/x
  3. Step 3: Cross multiply
    559,411.50x = 1,207,275 × 1,207,275
  4. Step 4: Simplify right side
    559,411.50x = 1,457,512,925,625
  5. Step 5: Solve for x
    x = 1,457,512,925,625/559,411.50
  6. Step 6: Final answer
    x = 2,605,439.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.