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Finding the Third Proportional to 524,740 and 829,594

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Solution

The third proportional to 524,740 and 829,594 is: 1,311,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,740 : 829,594 = 829,594 : x
  2. Step 2: Convert to fraction form
    524,740/829,594 = 829,594/x
  3. Step 3: Cross multiply
    524,740x = 829,594 × 829,594
  4. Step 4: Simplify right side
    524,740x = 688,226,204,836
  5. Step 5: Solve for x
    x = 688,226,204,836/524,740
  6. Step 6: Final answer
    x = 1,311,556.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.