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Finding the Third Proportional to 309,416 and 478,695

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Solution

The third proportional to 309,416 and 478,695 is: 740,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,416 : 478,695 = 478,695 : x
  2. Step 2: Convert to fraction form
    309,416/478,695 = 478,695/x
  3. Step 3: Cross multiply
    309,416x = 478,695 × 478,695
  4. Step 4: Simplify right side
    309,416x = 229,148,903,025
  5. Step 5: Solve for x
    x = 229,148,903,025/309,416
  6. Step 6: Final answer
    x = 740,585.18

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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.