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Finding the Third Proportional to 560,186 and 838,323

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Solution

The third proportional to 560,186 and 838,323 is: 1,254,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,186 : 838,323 = 838,323 : x
  2. Step 2: Convert to fraction form
    560,186/838,323 = 838,323/x
  3. Step 3: Cross multiply
    560,186x = 838,323 × 838,323
  4. Step 4: Simplify right side
    560,186x = 702,785,452,329
  5. Step 5: Solve for x
    x = 702,785,452,329/560,186
  6. Step 6: Final answer
    x = 1,254,557.33

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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.