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Finding the Third Proportional to 471,848 and 750,516

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Solution

The third proportional to 471,848 and 750,516 is: 1,193,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,848 : 750,516 = 750,516 : x
  2. Step 2: Convert to fraction form
    471,848/750,516 = 750,516/x
  3. Step 3: Cross multiply
    471,848x = 750,516 × 750,516
  4. Step 4: Simplify right side
    471,848x = 563,274,266,256
  5. Step 5: Solve for x
    x = 563,274,266,256/471,848
  6. Step 6: Final answer
    x = 1,193,762.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.