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Finding the Third Proportional to 334,923.75 and 438,030

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Solution

The third proportional to 334,923.75 and 438,030 is: 572,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,923.75 : 438,030 = 438,030 : x
  2. Step 2: Convert to fraction form
    334,923.75/438,030 = 438,030/x
  3. Step 3: Cross multiply
    334,923.75x = 438,030 × 438,030
  4. Step 4: Simplify right side
    334,923.75x = 191,870,280,900
  5. Step 5: Solve for x
    x = 191,870,280,900/334,923.75
  6. Step 6: Final answer
    x = 572,877.50

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.