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Finding the Third Proportional to 285,416 and 444,465

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Solution

The third proportional to 285,416 and 444,465 is: 692,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,416 : 444,465 = 444,465 : x
  2. Step 2: Convert to fraction form
    285,416/444,465 = 444,465/x
  3. Step 3: Cross multiply
    285,416x = 444,465 × 444,465
  4. Step 4: Simplify right side
    285,416x = 197,549,136,225
  5. Step 5: Solve for x
    x = 197,549,136,225/285,416
  6. Step 6: Final answer
    x = 692,144.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.