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Finding the Third Proportional to 389,025 and 805,050

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Solution

The third proportional to 389,025 and 805,050 is: 1,665,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,025 : 805,050 = 805,050 : x
  2. Step 2: Convert to fraction form
    389,025/805,050 = 805,050/x
  3. Step 3: Cross multiply
    389,025x = 805,050 × 805,050
  4. Step 4: Simplify right side
    389,025x = 648,105,502,500
  5. Step 5: Solve for x
    x = 648,105,502,500/389,025
  6. Step 6: Final answer
    x = 1,665,973.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.