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Finding the Third Proportional to 262,123.13 and 562,477.88

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Solution

The third proportional to 262,123.13 and 562,477.88 is: 1,206,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,123.13 : 562,477.88 = 562,477.88 : x
  2. Step 2: Convert to fraction form
    262,123.13/562,477.88 = 562,477.88/x
  3. Step 3: Cross multiply
    262,123.13x = 562,477.88 × 562,477.88
  4. Step 4: Simplify right side
    262,123.13x = 316,381,359,864.52
  5. Step 5: Solve for x
    x = 316,381,359,864.52/262,123.13
  6. Step 6: Final answer
    x = 1,206,995.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.