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Finding the Third Proportional to 438,730 and 663,495

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Solution

The third proportional to 438,730 and 663,495 is: 1,003,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,730 : 663,495 = 663,495 : x
  2. Step 2: Convert to fraction form
    438,730/663,495 = 663,495/x
  3. Step 3: Cross multiply
    438,730x = 663,495 × 663,495
  4. Step 4: Simplify right side
    438,730x = 440,225,615,025
  5. Step 5: Solve for x
    x = 440,225,615,025/438,730
  6. Step 6: Final answer
    x = 1,003,408.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.