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Finding the Third Proportional to 302,905 and 475,208

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Solution

The third proportional to 302,905 and 475,208 is: 745,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,905 : 475,208 = 475,208 : x
  2. Step 2: Convert to fraction form
    302,905/475,208 = 475,208/x
  3. Step 3: Cross multiply
    302,905x = 475,208 × 475,208
  4. Step 4: Simplify right side
    302,905x = 225,822,643,264
  5. Step 5: Solve for x
    x = 225,822,643,264/302,905
  6. Step 6: Final answer
    x = 745,523.00

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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.