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Finding the Third Proportional to 210,069 and 460,948

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Solution

The third proportional to 210,069 and 460,948 is: 1,011,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,069 : 460,948 = 460,948 : x
  2. Step 2: Convert to fraction form
    210,069/460,948 = 460,948/x
  3. Step 3: Cross multiply
    210,069x = 460,948 × 460,948
  4. Step 4: Simplify right side
    210,069x = 212,473,058,704
  5. Step 5: Solve for x
    x = 212,473,058,704/210,069
  6. Step 6: Final answer
    x = 1,011,444.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.