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Finding the Third Proportional to 335,468 and 507,564

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Solution

The third proportional to 335,468 and 507,564 is: 767,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,468 : 507,564 = 507,564 : x
  2. Step 2: Convert to fraction form
    335,468/507,564 = 507,564/x
  3. Step 3: Cross multiply
    335,468x = 507,564 × 507,564
  4. Step 4: Simplify right side
    335,468x = 257,621,214,096
  5. Step 5: Solve for x
    x = 257,621,214,096/335,468
  6. Step 6: Final answer
    x = 767,945.72

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Why These Related Problems?

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