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Finding the Third Proportional to 296,560 and 459,586

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Solution

The third proportional to 296,560 and 459,586 is: 712,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,560 : 459,586 = 459,586 : x
  2. Step 2: Convert to fraction form
    296,560/459,586 = 459,586/x
  3. Step 3: Cross multiply
    296,560x = 459,586 × 459,586
  4. Step 4: Simplify right side
    296,560x = 211,219,291,396
  5. Step 5: Solve for x
    x = 211,219,291,396/296,560
  6. Step 6: Final answer
    x = 712,231.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.