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Finding the Third Proportional to 334,905 and 468,451.50

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Solution

The third proportional to 334,905 and 468,451.50 is: 655,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,905 : 468,451.50 = 468,451.50 : x
  2. Step 2: Convert to fraction form
    334,905/468,451.50 = 468,451.50/x
  3. Step 3: Cross multiply
    334,905x = 468,451.50 × 468,451.50
  4. Step 4: Simplify right side
    334,905x = 219,446,807,852.25
  5. Step 5: Solve for x
    x = 219,446,807,852.25/334,905
  6. Step 6: Final answer
    x = 655,250.92

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.