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Finding the Third Proportional to 524,164 and 785,424

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Solution

The third proportional to 524,164 and 785,424 is: 1,176,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,164 : 785,424 = 785,424 : x
  2. Step 2: Convert to fraction form
    524,164/785,424 = 785,424/x
  3. Step 3: Cross multiply
    524,164x = 785,424 × 785,424
  4. Step 4: Simplify right side
    524,164x = 616,890,859,776
  5. Step 5: Solve for x
    x = 616,890,859,776/524,164
  6. Step 6: Final answer
    x = 1,176,904.29

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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.