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Finding the Third Proportional to 505,428 and 788,550

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Solution

The third proportional to 505,428 and 788,550 is: 1,230,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,428 : 788,550 = 788,550 : x
  2. Step 2: Convert to fraction form
    505,428/788,550 = 788,550/x
  3. Step 3: Cross multiply
    505,428x = 788,550 × 788,550
  4. Step 4: Simplify right side
    505,428x = 621,811,102,500
  5. Step 5: Solve for x
    x = 621,811,102,500/505,428
  6. Step 6: Final answer
    x = 1,230,266.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.