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Finding the Third Proportional to 291,230 and 596,572

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Solution

The third proportional to 291,230 and 596,572 is: 1,222,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,230 : 596,572 = 596,572 : x
  2. Step 2: Convert to fraction form
    291,230/596,572 = 596,572/x
  3. Step 3: Cross multiply
    291,230x = 596,572 × 596,572
  4. Step 4: Simplify right side
    291,230x = 355,898,151,184
  5. Step 5: Solve for x
    x = 355,898,151,184/291,230
  6. Step 6: Final answer
    x = 1,222,051.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.