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Finding the Third Proportional to 302,535 and 402,499.13

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Solution

The third proportional to 302,535 and 402,499.13 is: 535,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,535 : 402,499.13 = 402,499.13 : x
  2. Step 2: Convert to fraction form
    302,535/402,499.13 = 402,499.13/x
  3. Step 3: Cross multiply
    302,535x = 402,499.13 × 402,499.13
  4. Step 4: Simplify right side
    302,535x = 162,005,545,625.77
  5. Step 5: Solve for x
    x = 162,005,545,625.77/302,535
  6. Step 6: Final answer
    x = 535,493.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.