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Finding the Third Proportional to 211,196 and 459,572

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Solution

The third proportional to 211,196 and 459,572 is: 1,000,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,196 : 459,572 = 459,572 : x
  2. Step 2: Convert to fraction form
    211,196/459,572 = 459,572/x
  3. Step 3: Cross multiply
    211,196x = 459,572 × 459,572
  4. Step 4: Simplify right side
    211,196x = 211,206,423,184
  5. Step 5: Solve for x
    x = 211,206,423,184/211,196
  6. Step 6: Final answer
    x = 1,000,049.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.