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Finding the Third Proportional to 296,360 and 459,579

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Solution

The third proportional to 296,360 and 459,579 is: 712,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,360 : 459,579 = 459,579 : x
  2. Step 2: Convert to fraction form
    296,360/459,579 = 459,579/x
  3. Step 3: Cross multiply
    296,360x = 459,579 × 459,579
  4. Step 4: Simplify right side
    296,360x = 211,212,857,241
  5. Step 5: Solve for x
    x = 211,212,857,241/296,360
  6. Step 6: Final answer
    x = 712,690.16

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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.