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Finding the Third Proportional to 333,052 and 507,921

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Solution

The third proportional to 333,052 and 507,921 is: 774,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,052 : 507,921 = 507,921 : x
  2. Step 2: Convert to fraction form
    333,052/507,921 = 507,921/x
  3. Step 3: Cross multiply
    333,052x = 507,921 × 507,921
  4. Step 4: Simplify right side
    333,052x = 257,983,742,241
  5. Step 5: Solve for x
    x = 257,983,742,241/333,052
  6. Step 6: Final answer
    x = 774,604.99

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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.