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Finding the Third Proportional to 332,569 and 507,158

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Solution

The third proportional to 332,569 and 507,158 is: 773,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,569 : 507,158 = 507,158 : x
  2. Step 2: Convert to fraction form
    332,569/507,158 = 507,158/x
  3. Step 3: Cross multiply
    332,569x = 507,158 × 507,158
  4. Step 4: Simplify right side
    332,569x = 257,209,236,964
  5. Step 5: Solve for x
    x = 257,209,236,964/332,569
  6. Step 6: Final answer
    x = 773,401.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.