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Finding the Third Proportional to 501,564 and 768,090

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Solution

The third proportional to 501,564 and 768,090 is: 1,176,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,564 : 768,090 = 768,090 : x
  2. Step 2: Convert to fraction form
    501,564/768,090 = 768,090/x
  3. Step 3: Cross multiply
    501,564x = 768,090 × 768,090
  4. Step 4: Simplify right side
    501,564x = 589,962,248,100
  5. Step 5: Solve for x
    x = 589,962,248,100/501,564
  6. Step 6: Final answer
    x = 1,176,245.20

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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.