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Finding the Third Proportional to 565,574 and 829,353

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Solution

The third proportional to 565,574 and 829,353 is: 1,216,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,574 : 829,353 = 829,353 : x
  2. Step 2: Convert to fraction form
    565,574/829,353 = 829,353/x
  3. Step 3: Cross multiply
    565,574x = 829,353 × 829,353
  4. Step 4: Simplify right side
    565,574x = 687,826,398,609
  5. Step 5: Solve for x
    x = 687,826,398,609/565,574
  6. Step 6: Final answer
    x = 1,216,156.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.