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Finding the Third Proportional to 522,470 and 785,159

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Solution

The third proportional to 522,470 and 785,159 is: 1,179,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,470 : 785,159 = 785,159 : x
  2. Step 2: Convert to fraction form
    522,470/785,159 = 785,159/x
  3. Step 3: Cross multiply
    522,470x = 785,159 × 785,159
  4. Step 4: Simplify right side
    522,470x = 616,474,655,281
  5. Step 5: Solve for x
    x = 616,474,655,281/522,470
  6. Step 6: Final answer
    x = 1,179,923.55

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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.