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Finding the Third Proportional to 285,308 and 441,550

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Solution

The third proportional to 285,308 and 441,550 is: 683,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,308 : 441,550 = 441,550 : x
  2. Step 2: Convert to fraction form
    285,308/441,550 = 441,550/x
  3. Step 3: Cross multiply
    285,308x = 441,550 × 441,550
  4. Step 4: Simplify right side
    285,308x = 194,966,402,500
  5. Step 5: Solve for x
    x = 194,966,402,500/285,308
  6. Step 6: Final answer
    x = 683,354.14

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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.