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Finding the Third Proportional to 210,057 and 460,931

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Solution

The third proportional to 210,057 and 460,931 is: 1,011,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,057 : 460,931 = 460,931 : x
  2. Step 2: Convert to fraction form
    210,057/460,931 = 460,931/x
  3. Step 3: Cross multiply
    210,057x = 460,931 × 460,931
  4. Step 4: Simplify right side
    210,057x = 212,457,386,761
  5. Step 5: Solve for x
    x = 212,457,386,761/210,057
  6. Step 6: Final answer
    x = 1,011,427.31

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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.