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Finding the Third Proportional to 434,013 and 663,527.25

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Solution

The third proportional to 434,013 and 663,527.25 is: 1,014,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,013 : 663,527.25 = 663,527.25 : x
  2. Step 2: Convert to fraction form
    434,013/663,527.25 = 663,527.25/x
  3. Step 3: Cross multiply
    434,013x = 663,527.25 × 663,527.25
  4. Step 4: Simplify right side
    434,013x = 440,268,411,492.56
  5. Step 5: Solve for x
    x = 440,268,411,492.56/434,013
  6. Step 6: Final answer
    x = 1,014,412.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.