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Finding the Third Proportional to 516,906 and 755,310

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Solution

The third proportional to 516,906 and 755,310 is: 1,103,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,906 : 755,310 = 755,310 : x
  2. Step 2: Convert to fraction form
    516,906/755,310 = 755,310/x
  3. Step 3: Cross multiply
    516,906x = 755,310 × 755,310
  4. Step 4: Simplify right side
    516,906x = 570,493,196,100
  5. Step 5: Solve for x
    x = 570,493,196,100/516,906
  6. Step 6: Final answer
    x = 1,103,669.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.