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Finding the Third Proportional to 505,315.50 and 760,023

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Solution

The third proportional to 505,315.50 and 760,023 is: 1,143,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,315.50 : 760,023 = 760,023 : x
  2. Step 2: Convert to fraction form
    505,315.50/760,023 = 760,023/x
  3. Step 3: Cross multiply
    505,315.50x = 760,023 × 760,023
  4. Step 4: Simplify right side
    505,315.50x = 577,634,960,529
  5. Step 5: Solve for x
    x = 577,634,960,529/505,315.50
  6. Step 6: Final answer
    x = 1,143,117.44

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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.