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Finding the Third Proportional to 296,559 and 459,585

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Solution

The third proportional to 296,559 and 459,585 is: 712,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,559 : 459,585 = 459,585 : x
  2. Step 2: Convert to fraction form
    296,559/459,585 = 459,585/x
  3. Step 3: Cross multiply
    296,559x = 459,585 × 459,585
  4. Step 4: Simplify right side
    296,559x = 211,218,372,225
  5. Step 5: Solve for x
    x = 211,218,372,225/296,559
  6. Step 6: Final answer
    x = 712,230.52

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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.