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Finding the Third Proportional to 525,219 and 811,146

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Solution

The third proportional to 525,219 and 811,146 is: 1,252,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,219 : 811,146 = 811,146 : x
  2. Step 2: Convert to fraction form
    525,219/811,146 = 811,146/x
  3. Step 3: Cross multiply
    525,219x = 811,146 × 811,146
  4. Step 4: Simplify right side
    525,219x = 657,957,833,316
  5. Step 5: Solve for x
    x = 657,957,833,316/525,219
  6. Step 6: Final answer
    x = 1,252,730.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.