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Finding the Third Proportional to 334,142 and 482,776

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Solution

The third proportional to 334,142 and 482,776 is: 697,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,142 : 482,776 = 482,776 : x
  2. Step 2: Convert to fraction form
    334,142/482,776 = 482,776/x
  3. Step 3: Cross multiply
    334,142x = 482,776 × 482,776
  4. Step 4: Simplify right side
    334,142x = 233,072,666,176
  5. Step 5: Solve for x
    x = 233,072,666,176/334,142
  6. Step 6: Final answer
    x = 697,525.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.