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Finding the Third Proportional to 334,489.13 and 476,821.50

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Solution

The third proportional to 334,489.13 and 476,821.50 is: 679,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,489.13 : 476,821.50 = 476,821.50 : x
  2. Step 2: Convert to fraction form
    334,489.13/476,821.50 = 476,821.50/x
  3. Step 3: Cross multiply
    334,489.13x = 476,821.50 × 476,821.50
  4. Step 4: Simplify right side
    334,489.13x = 227,358,742,862.25
  5. Step 5: Solve for x
    x = 227,358,742,862.25/334,489.13
  6. Step 6: Final answer
    x = 679,719.39

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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.