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Finding the Third Proportional to 363,303 and 545,076

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Solution

The third proportional to 363,303 and 545,076 is: 817,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,303 : 545,076 = 545,076 : x
  2. Step 2: Convert to fraction form
    363,303/545,076 = 545,076/x
  3. Step 3: Cross multiply
    363,303x = 545,076 × 545,076
  4. Step 4: Simplify right side
    363,303x = 297,107,845,776
  5. Step 5: Solve for x
    x = 297,107,845,776/363,303
  6. Step 6: Final answer
    x = 817,796.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.