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Finding the Third Proportional to 331,526 and 723,776

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Solution

The third proportional to 331,526 and 723,776 is: 1,580,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,526 : 723,776 = 723,776 : x
  2. Step 2: Convert to fraction form
    331,526/723,776 = 723,776/x
  3. Step 3: Cross multiply
    331,526x = 723,776 × 723,776
  4. Step 4: Simplify right side
    331,526x = 523,851,698,176
  5. Step 5: Solve for x
    x = 523,851,698,176/331,526
  6. Step 6: Final answer
    x = 1,580,122.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.