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Finding the Third Proportional to 334,491.50 and 476,823.25

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Solution

The third proportional to 334,491.50 and 476,823.25 is: 679,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,491.50 : 476,823.25 = 476,823.25 : x
  2. Step 2: Convert to fraction form
    334,491.50/476,823.25 = 476,823.25/x
  3. Step 3: Cross multiply
    334,491.50x = 476,823.25 × 476,823.25
  4. Step 4: Simplify right side
    334,491.50x = 227,360,411,740.56
  5. Step 5: Solve for x
    x = 227,360,411,740.56/334,491.50
  6. Step 6: Final answer
    x = 679,719.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.