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Finding the Third Proportional to 504,564 and 758,970

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Solution

The third proportional to 504,564 and 758,970 is: 1,141,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,564 : 758,970 = 758,970 : x
  2. Step 2: Convert to fraction form
    504,564/758,970 = 758,970/x
  3. Step 3: Cross multiply
    504,564x = 758,970 × 758,970
  4. Step 4: Simplify right side
    504,564x = 576,035,460,900
  5. Step 5: Solve for x
    x = 576,035,460,900/504,564
  6. Step 6: Final answer
    x = 1,141,649.94

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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.