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Finding the Third Proportional to 302,881 and 475,159

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Solution

The third proportional to 302,881 and 475,159 is: 745,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,881 : 475,159 = 475,159 : x
  2. Step 2: Convert to fraction form
    302,881/475,159 = 475,159/x
  3. Step 3: Cross multiply
    302,881x = 475,159 × 475,159
  4. Step 4: Simplify right side
    302,881x = 225,776,075,281
  5. Step 5: Solve for x
    x = 225,776,075,281/302,881
  6. Step 6: Final answer
    x = 745,428.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.