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Finding the Third Proportional to 364,266 and 542,664

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Solution

The third proportional to 364,266 and 542,664 is: 808,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,266 : 542,664 = 542,664 : x
  2. Step 2: Convert to fraction form
    364,266/542,664 = 542,664/x
  3. Step 3: Cross multiply
    364,266x = 542,664 × 542,664
  4. Step 4: Simplify right side
    364,266x = 294,484,216,896
  5. Step 5: Solve for x
    x = 294,484,216,896/364,266
  6. Step 6: Final answer
    x = 808,431.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.