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Finding the Third Proportional to 507,468 and 758,700

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Solution

The third proportional to 507,468 and 758,700 is: 1,134,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,468 : 758,700 = 758,700 : x
  2. Step 2: Convert to fraction form
    507,468/758,700 = 758,700/x
  3. Step 3: Cross multiply
    507,468x = 758,700 × 758,700
  4. Step 4: Simplify right side
    507,468x = 575,625,690,000
  5. Step 5: Solve for x
    x = 575,625,690,000/507,468
  6. Step 6: Final answer
    x = 1,134,309.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.