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Finding the Third Proportional to 510,462 and 750,951

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Solution

The third proportional to 510,462 and 750,951 is: 1,104,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,462 : 750,951 = 750,951 : x
  2. Step 2: Convert to fraction form
    510,462/750,951 = 750,951/x
  3. Step 3: Cross multiply
    510,462x = 750,951 × 750,951
  4. Step 4: Simplify right side
    510,462x = 563,927,404,401
  5. Step 5: Solve for x
    x = 563,927,404,401/510,462
  6. Step 6: Final answer
    x = 1,104,739.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.