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Finding the Third Proportional to 365,664 and 537,912

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Solution

The third proportional to 365,664 and 537,912 is: 791,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,664 : 537,912 = 537,912 : x
  2. Step 2: Convert to fraction form
    365,664/537,912 = 537,912/x
  3. Step 3: Cross multiply
    365,664x = 537,912 × 537,912
  4. Step 4: Simplify right side
    365,664x = 289,349,319,744
  5. Step 5: Solve for x
    x = 289,349,319,744/365,664
  6. Step 6: Final answer
    x = 791,298.35

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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.