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Finding the Third Proportional to 520,051 and 730,201

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Solution

The third proportional to 520,051 and 730,201 is: 1,025,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,051 : 730,201 = 730,201 : x
  2. Step 2: Convert to fraction form
    520,051/730,201 = 730,201/x
  3. Step 3: Cross multiply
    520,051x = 730,201 × 730,201
  4. Step 4: Simplify right side
    520,051x = 533,193,500,401
  5. Step 5: Solve for x
    x = 533,193,500,401/520,051
  6. Step 6: Final answer
    x = 1,025,271.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.