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Finding the Third Proportional to 432,336 and 646,776

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Solution

The third proportional to 432,336 and 646,776 is: 967,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,336 : 646,776 = 646,776 : x
  2. Step 2: Convert to fraction form
    432,336/646,776 = 646,776/x
  3. Step 3: Cross multiply
    432,336x = 646,776 × 646,776
  4. Step 4: Simplify right side
    432,336x = 418,319,194,176
  5. Step 5: Solve for x
    x = 418,319,194,176/432,336
  6. Step 6: Final answer
    x = 967,578.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.