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Finding the Third Proportional to 305,765 and 415,219

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Solution

The third proportional to 305,765 and 415,219 is: 563,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,765 : 415,219 = 415,219 : x
  2. Step 2: Convert to fraction form
    305,765/415,219 = 415,219/x
  3. Step 3: Cross multiply
    305,765x = 415,219 × 415,219
  4. Step 4: Simplify right side
    305,765x = 172,406,817,961
  5. Step 5: Solve for x
    x = 172,406,817,961/305,765
  6. Step 6: Final answer
    x = 563,854.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.